[{"date_published":"2024-04-06T00:00:00Z","article_number":"48","publication_status":"published","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","publication":"Journal of Statistical Physics","file_date_updated":"2024-04-16T11:09:37Z","date_updated":"2025-09-04T13:36:49Z","abstract":[{"text":"We consider a gas of N weakly interacting bosons in the ground state. Such gases exhibit Bose–Einstein condensation. The binding energy is defined as the energy it takes to remove one particle from the gas. In this article, we prove an asymptotic expansion for the binding energy, and compute the first orders explicitly for the homogeneous gas. Our result addresses in particular a conjecture by Nam (Lett Math Phys 108(1):141–159, 2018), and provides an asymptotic expansion of the ionization energy of bosonic atoms.","lang":"eng"}],"author":[{"id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","full_name":"Bossmann, Lea","orcid":"0000-0002-6854-1343","last_name":"Bossmann","first_name":"Lea"},{"id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","full_name":"Leopold, Nikolai K","orcid":"0000-0002-0495-6822","last_name":"Leopold","first_name":"Nikolai K"},{"id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","full_name":"Mitrouskas, David Johannes","last_name":"Mitrouskas","first_name":"David Johannes"},{"first_name":"Sören P","last_name":"Petrat","orcid":"0000-0002-9166-5889","full_name":"Petrat, Sören P","id":"40AC02DC-F248-11E8-B48F-1D18A9856A87"}],"title":"A note on the binding energy for Bosons in the mean-field limit","date_created":"2024-04-14T22:01:02Z","external_id":{"arxiv":["2307.13115"],"isi":["001197663100002"]},"day":"06","article_processing_charge":"Yes (via OA deal)","oa_version":"Published Version","_id":"15318","article_type":"original","scopus_import":"1","department":[{"_id":"RoSe"}],"intvolume":"       191","publisher":"Springer Nature","quality_controlled":"1","citation":{"short":"L. Bossmann, N.K. Leopold, D.J. Mitrouskas, S.P. Petrat, Journal of Statistical Physics 191 (2024).","mla":"Bossmann, Lea, et al. “A Note on the Binding Energy for Bosons in the Mean-Field Limit.” <i>Journal of Statistical Physics</i>, vol. 191, no. 4, 48, Springer Nature, 2024, doi:<a href=\"https://doi.org/10.1007/s10955-024-03260-5\">10.1007/s10955-024-03260-5</a>.","ieee":"L. Bossmann, N. K. Leopold, D. J. Mitrouskas, and S. P. Petrat, “A note on the binding energy for Bosons in the mean-field limit,” <i>Journal of Statistical Physics</i>, vol. 191, no. 4. Springer Nature, 2024.","ista":"Bossmann L, Leopold NK, Mitrouskas DJ, Petrat SP. 2024. A note on the binding energy for Bosons in the mean-field limit. Journal of Statistical Physics. 191(4), 48.","chicago":"Bossmann, Lea, Nikolai K Leopold, David Johannes Mitrouskas, and Sören P Petrat. “A Note on the Binding Energy for Bosons in the Mean-Field Limit.” <i>Journal of Statistical Physics</i>. Springer Nature, 2024. <a href=\"https://doi.org/10.1007/s10955-024-03260-5\">https://doi.org/10.1007/s10955-024-03260-5</a>.","apa":"Bossmann, L., Leopold, N. K., Mitrouskas, D. J., &#38; Petrat, S. P. (2024). A note on the binding energy for Bosons in the mean-field limit. <i>Journal of Statistical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10955-024-03260-5\">https://doi.org/10.1007/s10955-024-03260-5</a>","ama":"Bossmann L, Leopold NK, Mitrouskas DJ, Petrat SP. A note on the binding energy for Bosons in the mean-field limit. <i>Journal of Statistical Physics</i>. 2024;191(4). doi:<a href=\"https://doi.org/10.1007/s10955-024-03260-5\">10.1007/s10955-024-03260-5</a>"},"ddc":["510"],"has_accepted_license":"1","doi":"10.1007/s10955-024-03260-5","issue":"4","oa":1,"year":"2024","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"language":[{"iso":"eng"}],"file":[{"date_created":"2024-04-16T11:09:37Z","relation":"main_file","file_name":"2024_JourStatPhysics_Bossmann.pdf","date_updated":"2024-04-16T11:09:37Z","file_size":398665,"checksum":"839242a9ec1c01158112de25f196e60d","content_type":"application/pdf","file_id":"15325","access_level":"open_access","creator":"dernst","success":1}],"arxiv":1,"isi":1,"license":"https://creativecommons.org/licenses/by/4.0/","month":"04","type":"journal_article","acknowledgement":"It is a pleasure to thank Phan Thành Nam for helpful discussions on bosonic atoms. L.B. was supported by the German Research Foundation within the Munich Center of Quantum Science and Technology (EXC 2111). N.L. gratefully acknowledges support from the Swiss National Science Foundation through the NCCR SwissMap and funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant agreement No 101024712. S.P. acknowledges funding by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)—Project number 512258249.\r\nOpen Access funding enabled and organized by Projekt DEAL.","publication_identifier":{"issn":["0022-4715"],"eissn":["1572-9613"]},"status":"public","volume":191},{"issue":"7","doi":"10.1007/s10955-023-03132-4","related_material":{"record":[{"id":"20575","status":"public","relation":"dissertation_contains"},{"status":"public","id":"19540","relation":"dissertation_contains"}]},"has_accepted_license":"1","year":"2023","oa":1,"file":[{"file_name":"2023_JourStatPhysics_Sugimoto.pdf","date_updated":"2023-07-31T07:49:31Z","file_size":612755,"content_type":"application/pdf","checksum":"c2ef6b2aecfee1ad6d03fab620507c2c","date_created":"2023-07-31T07:49:31Z","relation":"main_file","access_level":"open_access","creator":"dernst","success":1,"file_id":"13325"}],"language":[{"iso":"eng"}],"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"isi":1,"arxiv":1,"month":"07","type":"journal_article","acknowledgement":"LE, JH, and VR were supported by ERC Advanced Grant “RMTBeyond” No. 101020331. SS was supported by KAKENHI Grant Number JP22J14935 from the Japan Society for the Promotion of Science (JSPS) and Forefront Physics and Mathematics Program to Drive Transformation (FoPM), a World-leading Innovative Graduate Study (WINGS) Program, the University of Tokyo.\r\nOpen access funding provided by The University of Tokyo.","publication_identifier":{"issn":["0022-4715"],"eissn":["1572-9613"]},"status":"public","ec_funded":1,"volume":190,"date_published":"2023-07-21T00:00:00Z","article_number":"128","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_status":"published","file_date_updated":"2023-07-31T07:49:31Z","publication":"Journal of Statistical Physics","date_updated":"2026-04-07T12:37:10Z","abstract":[{"lang":"eng","text":"We prove the Eigenstate Thermalisation Hypothesis (ETH) for local observables in a typical translation invariant system of quantum spins with L-body interactions, where L is the number of spins. This mathematically verifies the observation first made by Santos and Rigol (Phys Rev E 82(3):031130, 2010, https://doi.org/10.1103/PhysRevE.82.031130) that the ETH may hold for systems with additional translational symmetries for a naturally restricted class of observables. We also present numerical support for the same phenomenon for Hamiltonians with local interaction."}],"project":[{"grant_number":"101020331","name":"Random matrices beyond Wigner-Dyson-Mehta","call_identifier":"H2020","_id":"62796744-2b32-11ec-9570-940b20777f1d"}],"date_created":"2023-07-30T22:01:02Z","external_id":{"isi":["001035677200002"],"arxiv":["2304.04213"]},"author":[{"first_name":"Shoki","last_name":"Sugimoto","full_name":"Sugimoto, Shoki"},{"orcid":"0000-0003-1106-327X","last_name":"Henheik","first_name":"Sven Joscha","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","full_name":"Henheik, Sven Joscha"},{"id":"1949f904-edfb-11eb-afb5-e2dfddabb93b","full_name":"Riabov, Volodymyr","first_name":"Volodymyr","last_name":"Riabov"},{"orcid":"0000-0001-5366-9603","last_name":"Erdös","first_name":"László","full_name":"Erdös, László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87"}],"title":"Eigenstate thermalisation hypothesis for translation invariant spin systems","day":"21","_id":"13317","oa_version":"Published Version","article_processing_charge":"Yes (in subscription journal)","scopus_import":"1","article_type":"original","intvolume":"       190","department":[{"_id":"LaEr"}],"publisher":"Springer Nature","citation":{"ista":"Sugimoto S, Henheik SJ, Riabov V, Erdös L. 2023. Eigenstate thermalisation hypothesis for translation invariant spin systems. Journal of Statistical Physics. 190(7), 128.","ieee":"S. Sugimoto, S. J. Henheik, V. Riabov, and L. Erdös, “Eigenstate thermalisation hypothesis for translation invariant spin systems,” <i>Journal of Statistical Physics</i>, vol. 190, no. 7. Springer Nature, 2023.","short":"S. Sugimoto, S.J. Henheik, V. Riabov, L. Erdös, Journal of Statistical Physics 190 (2023).","mla":"Sugimoto, Shoki, et al. “Eigenstate Thermalisation Hypothesis for Translation Invariant Spin Systems.” <i>Journal of Statistical Physics</i>, vol. 190, no. 7, 128, Springer Nature, 2023, doi:<a href=\"https://doi.org/10.1007/s10955-023-03132-4\">10.1007/s10955-023-03132-4</a>.","ama":"Sugimoto S, Henheik SJ, Riabov V, Erdös L. Eigenstate thermalisation hypothesis for translation invariant spin systems. <i>Journal of Statistical Physics</i>. 2023;190(7). doi:<a href=\"https://doi.org/10.1007/s10955-023-03132-4\">10.1007/s10955-023-03132-4</a>","apa":"Sugimoto, S., Henheik, S. J., Riabov, V., &#38; Erdös, L. (2023). Eigenstate thermalisation hypothesis for translation invariant spin systems. <i>Journal of Statistical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10955-023-03132-4\">https://doi.org/10.1007/s10955-023-03132-4</a>","chicago":"Sugimoto, Shoki, Sven Joscha Henheik, Volodymyr Riabov, and László Erdös. “Eigenstate Thermalisation Hypothesis for Translation Invariant Spin Systems.” <i>Journal of Statistical Physics</i>. Springer Nature, 2023. <a href=\"https://doi.org/10.1007/s10955-023-03132-4\">https://doi.org/10.1007/s10955-023-03132-4</a>."},"quality_controlled":"1","ddc":["510","530"]},{"_id":"11917","oa_version":"Published Version","article_processing_charge":"Yes (via OA deal)","day":"01","intvolume":"       188","department":[{"_id":"RoSe"}],"article_type":"original","scopus_import":"1","publisher":"Springer Nature","ddc":["510"],"citation":{"ama":"Rademacher SAE, Seiringer R. Large deviation estimates for weakly interacting bosons. <i>Journal of Statistical Physics</i>. 2022;188. doi:<a href=\"https://doi.org/10.1007/s10955-022-02940-4\">10.1007/s10955-022-02940-4</a>","apa":"Rademacher, S. A. E., &#38; Seiringer, R. (2022). Large deviation estimates for weakly interacting bosons. <i>Journal of Statistical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10955-022-02940-4\">https://doi.org/10.1007/s10955-022-02940-4</a>","chicago":"Rademacher, Simone Anna Elvira, and Robert Seiringer. “Large Deviation Estimates for Weakly Interacting Bosons.” <i>Journal of Statistical Physics</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s10955-022-02940-4\">https://doi.org/10.1007/s10955-022-02940-4</a>.","ista":"Rademacher SAE, Seiringer R. 2022. Large deviation estimates for weakly interacting bosons. Journal of Statistical Physics. 188, 9.","mla":"Rademacher, Simone Anna Elvira, and Robert Seiringer. “Large Deviation Estimates for Weakly Interacting Bosons.” <i>Journal of Statistical Physics</i>, vol. 188, 9, Springer Nature, 2022, doi:<a href=\"https://doi.org/10.1007/s10955-022-02940-4\">10.1007/s10955-022-02940-4</a>.","short":"S.A.E. Rademacher, R. Seiringer, Journal of Statistical Physics 188 (2022).","ieee":"S. A. E. Rademacher and R. Seiringer, “Large deviation estimates for weakly interacting bosons,” <i>Journal of Statistical Physics</i>, vol. 188. Springer Nature, 2022."},"quality_controlled":"1","article_number":"9","corr_author":"1","date_published":"2022-07-01T00:00:00Z","publication":"Journal of Statistical Physics","file_date_updated":"2022-08-18T08:09:00Z","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","publication_status":"published","abstract":[{"lang":"eng","text":"We study the many-body dynamics of an initially factorized bosonic wave function in the mean-field regime. We prove large deviation estimates for the fluctuations around the condensate. We derive an upper bound extending a recent result to more general interactions. Furthermore, we derive a new lower bound which agrees with the upper bound in leading order."}],"date_updated":"2025-04-14T07:26:59Z","external_id":{"isi":["000805175000001"]},"date_created":"2022-08-18T07:23:26Z","title":"Large deviation estimates for weakly interacting bosons","author":[{"id":"856966FE-A408-11E9-977E-802DE6697425","full_name":"Rademacher, Simone Anna Elvira","first_name":"Simone Anna Elvira","last_name":"Rademacher","orcid":"0000-0001-5059-4466"},{"orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87"}],"project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020"},{"_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships"}],"type":"journal_article","acknowledgement":"The authors thank Gérard Ben Arous for pointing out the question of a lower bound. Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC Grant Agreement No. 694227 (R.S.) and under the Marie Skłodowska-Curie Grant Agreement No. 754411 (S.R.) is gratefully acknowledged.\r\nOpen access funding provided by IST Austria.","status":"public","ec_funded":1,"publication_identifier":{"eissn":["1572-9613"],"issn":["0022-4715"]},"keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"volume":188,"doi":"10.1007/s10955-022-02940-4","has_accepted_license":"1","language":[{"iso":"eng"}],"file":[{"file_id":"11922","access_level":"open_access","success":1,"creator":"dernst","date_created":"2022-08-18T08:09:00Z","relation":"main_file","checksum":"44418cb44f07fa21ed3907f85abf7f39","file_size":483481,"content_type":"application/pdf","date_updated":"2022-08-18T08:09:00Z","file_name":"2022_JournalStatisticalPhysics_Rademacher.pdf"}],"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"year":"2022","oa":1,"isi":1,"month":"07"},{"oa":1,"year":"2022","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"file":[{"success":1,"creator":"dernst","access_level":"open_access","file_id":"11338","file_size":362119,"content_type":"application/pdf","checksum":"f3e0b00884b7dde31347a3756788b473","file_name":"2022_JourStatisticalPhysics_Wirth.pdf","date_updated":"2022-04-29T11:24:23Z","relation":"main_file","date_created":"2022-04-29T11:24:23Z"}],"language":[{"iso":"eng"}],"has_accepted_license":"1","issue":"2","doi":"10.1007/s10955-022-02911-9","month":"04","isi":1,"acknowledgement":"The author wants to thank Jan Maas for helpful comments. He also acknowledges financial support from the Austrian Science Fund (FWF) through Grant Number F65 and from the European Research Council (ERC) under the European Union’s Horizon 2020 Research and Innovation Programme (Grant Agreement No. 716117).\r\nOpen access funding provided by Institute of Science and Technology (IST Austria).","type":"journal_article","volume":187,"publication_identifier":{"eissn":["1572-9613"],"issn":["0022-4715"]},"ec_funded":1,"status":"public","publication_status":"published","pmid":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","file_date_updated":"2022-04-29T11:24:23Z","publication":"Journal of Statistical Physics","date_published":"2022-04-08T00:00:00Z","corr_author":"1","article_number":"19","project":[{"_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","grant_number":"F6504","name":"Taming Complexity in Partial Differential Systems"},{"name":"Optimal Transport and Stochastic Dynamics","grant_number":"716117","call_identifier":"H2020","_id":"256E75B8-B435-11E9-9278-68D0E5697425"}],"author":[{"id":"88644358-0A0E-11EA-8FA5-49A33DDC885E","full_name":"Wirth, Melchior","last_name":"Wirth","first_name":"Melchior","orcid":"0000-0002-0519-4241"}],"title":"A dual formula for the noncommutative transport distance","date_created":"2022-04-24T22:01:43Z","external_id":{"pmid":["35509951"],"isi":["000780305000001"]},"date_updated":"2025-06-12T06:17:37Z","abstract":[{"lang":"eng","text":"In this article we study the noncommutative transport distance introduced by Carlen and Maas and its entropic regularization defined by Becker and Li. We prove a duality formula that can be understood as a quantum version of the dual Benamou–Brenier formulation of the Wasserstein distance in terms of subsolutions of a Hamilton–Jacobi–Bellmann equation."}],"scopus_import":"1","article_type":"original","department":[{"_id":"JaMa"}],"intvolume":"       187","day":"08","oa_version":"Published Version","article_processing_charge":"Yes (via OA deal)","_id":"11330","citation":{"chicago":"Wirth, Melchior. “A Dual Formula for the Noncommutative Transport Distance.” <i>Journal of Statistical Physics</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s10955-022-02911-9\">https://doi.org/10.1007/s10955-022-02911-9</a>.","apa":"Wirth, M. (2022). A dual formula for the noncommutative transport distance. <i>Journal of Statistical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10955-022-02911-9\">https://doi.org/10.1007/s10955-022-02911-9</a>","ama":"Wirth M. A dual formula for the noncommutative transport distance. <i>Journal of Statistical Physics</i>. 2022;187(2). doi:<a href=\"https://doi.org/10.1007/s10955-022-02911-9\">10.1007/s10955-022-02911-9</a>","short":"M. Wirth, Journal of Statistical Physics 187 (2022).","mla":"Wirth, Melchior. “A Dual Formula for the Noncommutative Transport Distance.” <i>Journal of Statistical Physics</i>, vol. 187, no. 2, 19, Springer Nature, 2022, doi:<a href=\"https://doi.org/10.1007/s10955-022-02911-9\">10.1007/s10955-022-02911-9</a>.","ieee":"M. Wirth, “A dual formula for the noncommutative transport distance,” <i>Journal of Statistical Physics</i>, vol. 187, no. 2. Springer Nature, 2022.","ista":"Wirth M. 2022. A dual formula for the noncommutative transport distance. Journal of Statistical Physics. 187(2), 19."},"quality_controlled":"1","ddc":["510","530"],"publisher":"Springer Nature"},{"publisher":"Springer Nature","ddc":["530"],"quality_controlled":"1","citation":{"mla":"Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap at High Density.” <i>Journal of Statistical Physics</i>, vol. 189, 5, Springer Nature, 2022, doi:<a href=\"https://doi.org/10.1007/s10955-022-02965-9\">10.1007/s10955-022-02965-9</a>.","short":"S.J. Henheik, A.B. Lauritsen, Journal of Statistical Physics 189 (2022).","ieee":"S. J. Henheik and A. B. Lauritsen, “The BCS energy gap at high density,” <i>Journal of Statistical Physics</i>, vol. 189. Springer Nature, 2022.","ista":"Henheik SJ, Lauritsen AB. 2022. The BCS energy gap at high density. Journal of Statistical Physics. 189, 5.","chicago":"Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap at High Density.” <i>Journal of Statistical Physics</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s10955-022-02965-9\">https://doi.org/10.1007/s10955-022-02965-9</a>.","apa":"Henheik, S. J., &#38; Lauritsen, A. B. (2022). The BCS energy gap at high density. <i>Journal of Statistical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10955-022-02965-9\">https://doi.org/10.1007/s10955-022-02965-9</a>","ama":"Henheik SJ, Lauritsen AB. The BCS energy gap at high density. <i>Journal of Statistical Physics</i>. 2022;189. doi:<a href=\"https://doi.org/10.1007/s10955-022-02965-9\">10.1007/s10955-022-02965-9</a>"},"article_processing_charge":"Yes (via OA deal)","oa_version":"Published Version","_id":"11732","day":"29","department":[{"_id":"GradSch"},{"_id":"LaEr"},{"_id":"RoSe"}],"intvolume":"       189","article_type":"original","scopus_import":"1","abstract":[{"text":"We study the BCS energy gap Ξ in the high–density limit and derive an asymptotic formula, which strongly depends on the strength of the interaction potential V on the Fermi surface. In combination with the recent result by one of us (Math. Phys. Anal. Geom. 25, 3, 2022) on the critical temperature Tc at high densities, we prove the universality of the ratio of the energy gap and the critical temperature.","lang":"eng"}],"date_updated":"2026-04-07T13:01:40Z","title":"The BCS energy gap at high density","author":[{"full_name":"Henheik, Sven Joscha","id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","first_name":"Sven Joscha","last_name":"Henheik","orcid":"0000-0003-1106-327X"},{"orcid":"0000-0003-4476-2288","last_name":"Lauritsen","first_name":"Asbjørn Bækgaard","full_name":"Lauritsen, Asbjørn Bækgaard","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1"}],"external_id":{"isi":["000833007200002"]},"date_created":"2022-08-05T11:36:56Z","project":[{"_id":"62796744-2b32-11ec-9570-940b20777f1d","call_identifier":"H2020","grant_number":"101020331","name":"Random matrices beyond Wigner-Dyson-Mehta"}],"corr_author":"1","article_number":"5","date_published":"2022-07-29T00:00:00Z","file_date_updated":"2022-08-08T07:36:34Z","publication":"Journal of Statistical Physics","publication_status":"published","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","ec_funded":1,"status":"public","publication_identifier":{"eissn":["1572-9613"],"issn":["0022-4715"]},"keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"volume":189,"type":"journal_article","acknowledgement":"We are grateful to Robert Seiringer for helpful discussions and many valuable comments\r\non an earlier version of the manuscript. J.H. acknowledges partial financial support by the ERC Advanced Grant “RMTBeyond’ No. 101020331. Open access funding provided by Institute of Science and Technology (IST Austria)","isi":1,"month":"07","has_accepted_license":"1","related_material":{"record":[{"relation":"dissertation_contains","id":"19540","status":"public"},{"status":"public","id":"18135","relation":"dissertation_contains"}]},"doi":"10.1007/s10955-022-02965-9","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"language":[{"iso":"eng"}],"file":[{"file_id":"11746","access_level":"open_access","success":1,"creator":"dernst","date_created":"2022-08-08T07:36:34Z","relation":"main_file","file_size":419563,"checksum":"b398c4dbf65f71d417981d6e366427e9","content_type":"application/pdf","date_updated":"2022-08-08T07:36:34Z","file_name":"2022_JourStatisticalPhysics_Henheik.pdf"}],"oa":1,"year":"2022"},{"acknowledgement":"Financial support through the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme Grant Agreement No. 694227 (R.S.) and the Maria Skłodowska-Curie Grant Agreement No. 665386 (K.M.) is gratefully acknowledged. Open access funding provided by Institute of Science and Technology (IST Austria).","type":"journal_article","volume":186,"ec_funded":1,"status":"public","publication_identifier":{"eissn":["1572-9613"],"issn":["0022-4715"]},"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"file":[{"file_id":"10716","creator":"cchlebak","success":1,"access_level":"open_access","relation":"main_file","date_created":"2022-02-02T14:24:41Z","file_name":"2022_JournalStatPhys_Myśliwy.pdf","date_updated":"2022-02-02T14:24:41Z","checksum":"da03f6d293c4b9802091bce9471b1d29","content_type":"application/pdf","file_size":434957}],"language":[{"iso":"eng"}],"oa":1,"year":"2022","related_material":{"record":[{"status":"public","id":"11473","relation":"dissertation_contains"}]},"has_accepted_license":"1","doi":"10.1007/s10955-021-02851-w","issue":"1","month":"01","arxiv":1,"isi":1,"department":[{"_id":"RoSe"}],"intvolume":"       186","article_type":"original","scopus_import":"1","oa_version":"Published Version","article_processing_charge":"Yes (via OA deal)","_id":"10564","day":"01","ddc":["530"],"citation":{"apa":"Mysliwy, K., &#38; Seiringer, R. (2022). Polaron models with regular interactions at strong coupling. <i>Journal of Statistical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10955-021-02851-w\">https://doi.org/10.1007/s10955-021-02851-w</a>","ama":"Mysliwy K, Seiringer R. Polaron models with regular interactions at strong coupling. <i>Journal of Statistical Physics</i>. 2022;186(1). doi:<a href=\"https://doi.org/10.1007/s10955-021-02851-w\">10.1007/s10955-021-02851-w</a>","chicago":"Mysliwy, Krzysztof, and Robert Seiringer. “Polaron Models with Regular Interactions at Strong Coupling.” <i>Journal of Statistical Physics</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s10955-021-02851-w\">https://doi.org/10.1007/s10955-021-02851-w</a>.","ista":"Mysliwy K, Seiringer R. 2022. Polaron models with regular interactions at strong coupling. Journal of Statistical Physics. 186(1), 5.","ieee":"K. Mysliwy and R. Seiringer, “Polaron models with regular interactions at strong coupling,” <i>Journal of Statistical Physics</i>, vol. 186, no. 1. Springer Nature, 2022.","mla":"Mysliwy, Krzysztof, and Robert Seiringer. “Polaron Models with Regular Interactions at Strong Coupling.” <i>Journal of Statistical Physics</i>, vol. 186, no. 1, 5, Springer Nature, 2022, doi:<a href=\"https://doi.org/10.1007/s10955-021-02851-w\">10.1007/s10955-021-02851-w</a>.","short":"K. Mysliwy, R. Seiringer, Journal of Statistical Physics 186 (2022)."},"quality_controlled":"1","publisher":"Springer Nature","publication":"Journal of Statistical Physics","file_date_updated":"2022-02-02T14:24:41Z","publication_status":"published","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","corr_author":"1","article_number":"5","date_published":"2022-01-01T00:00:00Z","author":[{"first_name":"Krzysztof","last_name":"Mysliwy","full_name":"Mysliwy, Krzysztof","id":"316457FC-F248-11E8-B48F-1D18A9856A87"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer","first_name":"Robert"}],"title":"Polaron models with regular interactions at strong coupling","date_created":"2021-12-19T23:01:32Z","external_id":{"isi":["000726275600001"],"arxiv":["2106.09328"]},"project":[{"call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"},{"name":"International IST Doctoral Program","grant_number":"665385","call_identifier":"H2020","_id":"2564DBCA-B435-11E9-9278-68D0E5697425"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"abstract":[{"text":"We study a class of polaron-type Hamiltonians with sufficiently regular form factor in the interaction term. We investigate the strong-coupling limit of the model, and prove suitable bounds on the ground state energy as a function of the total momentum of the system. These bounds agree with the semiclassical approximation to leading order. The latter corresponds here to the situation when the particle undergoes harmonic motion in a potential well whose frequency is determined by the corresponding Pekar functional. We show that for all such models the effective mass diverges in the strong coupling limit, in all spatial dimensions. Moreover, for the case when the phonon dispersion relation grows at least linearly with momentum, the bounds result in an asymptotic formula for the effective mass quotient, a quantity generalizing the usual notion of the effective mass. This asymptotic form agrees with the semiclassical Landau–Pekar formula and can be regarded as the first rigorous confirmation, in a slightly weaker sense than usually considered, of the validity of the semiclassical formula for the effective mass.","lang":"eng"}],"date_updated":"2026-04-07T14:14:51Z"},{"arxiv":1,"isi":1,"month":"10","has_accepted_license":"1","page":"448-464","doi":"10.1007/s10955-020-02586-0","oa":1,"year":"2020","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"language":[{"iso":"eng"}],"file":[{"relation":"main_file","date_created":"2020-11-25T15:05:04Z","file_size":404778,"checksum":"5cbeef52caf18d0d952f17fed7b5545a","content_type":"application/pdf","date_updated":"2020-11-25T15:05:04Z","file_name":"2020_JourStatPhysics_Seiringer.pdf","file_id":"8812","success":1,"creator":"dernst","access_level":"open_access"}],"publication_identifier":{"issn":["0022-4715"],"eissn":["1572-9613"]},"ec_funded":1,"status":"public","volume":181,"type":"journal_article","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria).\r\nThe work of R.S. was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No 694227). J.Y. gratefully acknowledges hospitality at the LPMMC Grenoble and valuable discussions with Alessandro Olgiati and Nicolas Rougerie. ","date_updated":"2025-07-10T11:55:04Z","abstract":[{"lang":"eng","text":"In the setting of the fractional quantum Hall effect we study the effects of strong, repulsive two-body interaction potentials of short range. We prove that Haldane’s pseudo-potential operators, including their pre-factors, emerge as mathematically rigorous limits of such interactions when the range of the potential tends to zero while its strength tends to infinity. In a common approach the interaction potential is expanded in angular momentum eigenstates in the lowest Landau level, which amounts to taking the pre-factors to be the moments of the potential. Such a procedure is not appropriate for very strong interactions, however, in particular not in the case of hard spheres. We derive the formulas valid in the short-range case, which involve the scattering lengths of the interaction potential in different angular momentum channels rather than its moments. Our results hold for bosons and fermions alike and generalize previous results in [6], which apply to bosons in the lowest angular momentum channel. Our main theorem asserts the convergence in a norm-resolvent sense of the Hamiltonian on the whole Hilbert space, after appropriate energy scalings, to Hamiltonians with contact interactions in the lowest Landau level."}],"project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"},{"call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"title":"Emergence of Haldane pseudo-potentials in systems with short-range interactions","author":[{"full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521"},{"full_name":"Yngvason, Jakob","last_name":"Yngvason","first_name":"Jakob"}],"date_created":"2020-07-05T22:00:46Z","external_id":{"isi":["000543030000002"],"arxiv":["2001.07144"]},"date_published":"2020-10-01T00:00:00Z","corr_author":"1","publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication":"Journal of Statistical Physics","file_date_updated":"2020-11-25T15:05:04Z","publisher":"Springer","citation":{"chicago":"Seiringer, Robert, and Jakob Yngvason. “Emergence of Haldane Pseudo-Potentials in Systems with Short-Range Interactions.” <i>Journal of Statistical Physics</i>. Springer, 2020. <a href=\"https://doi.org/10.1007/s10955-020-02586-0\">https://doi.org/10.1007/s10955-020-02586-0</a>.","ama":"Seiringer R, Yngvason J. Emergence of Haldane pseudo-potentials in systems with short-range interactions. <i>Journal of Statistical Physics</i>. 2020;181:448-464. doi:<a href=\"https://doi.org/10.1007/s10955-020-02586-0\">10.1007/s10955-020-02586-0</a>","apa":"Seiringer, R., &#38; Yngvason, J. (2020). Emergence of Haldane pseudo-potentials in systems with short-range interactions. <i>Journal of Statistical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s10955-020-02586-0\">https://doi.org/10.1007/s10955-020-02586-0</a>","ieee":"R. Seiringer and J. Yngvason, “Emergence of Haldane pseudo-potentials in systems with short-range interactions,” <i>Journal of Statistical Physics</i>, vol. 181. Springer, pp. 448–464, 2020.","mla":"Seiringer, Robert, and Jakob Yngvason. “Emergence of Haldane Pseudo-Potentials in Systems with Short-Range Interactions.” <i>Journal of Statistical Physics</i>, vol. 181, Springer, 2020, pp. 448–64, doi:<a href=\"https://doi.org/10.1007/s10955-020-02586-0\">10.1007/s10955-020-02586-0</a>.","short":"R. Seiringer, J. Yngvason, Journal of Statistical Physics 181 (2020) 448–464.","ista":"Seiringer R, Yngvason J. 2020. Emergence of Haldane pseudo-potentials in systems with short-range interactions. Journal of Statistical Physics. 181, 448–464."},"quality_controlled":"1","ddc":["530"],"day":"01","article_processing_charge":"Yes (via OA deal)","oa_version":"Published Version","_id":"8091","scopus_import":"1","article_type":"original","department":[{"_id":"RoSe"}],"intvolume":"       181"},{"type":"journal_article","acknowledgement":"The research of A.M. was partially supported by the Deutsche Forschungsgemeinschaft (DFG) via the Collaborative Research Center SFB 1114 Scaling Cascades in Complex Systems (Project No. 235221301), through the Subproject C05 Effective models for materials and interfaces with multiple scales. J.M. gratefully acknowledges support by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 716117), and by the Austrian Science Fund (FWF), Project SFB F65. The authors thank Christof Schütte, Robert I. A. Patterson, and Stefanie Winkelmann for helpful and stimulating discussions. Open access funding provided by Austrian Science Fund (FWF).","publication_identifier":{"issn":["0022-4715"],"eissn":["1572-9613"]},"status":"public","ec_funded":1,"volume":181,"doi":"10.1007/s10955-020-02663-4","issue":"6","page":"2257-2303","has_accepted_license":"1","year":"2020","oa":1,"file":[{"success":1,"creator":"dernst","access_level":"open_access","file_id":"9087","file_size":753596,"content_type":"application/pdf","checksum":"bc2b63a90197b97cbc73eccada4639f5","date_updated":"2021-02-04T10:29:11Z","file_name":"2020_JourStatPhysics_Maas.pdf","relation":"main_file","date_created":"2021-02-04T10:29:11Z"}],"language":[{"iso":"eng"}],"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"isi":1,"arxiv":1,"month":"12","day":"01","_id":"8758","article_processing_charge":"No","oa_version":"Published Version","scopus_import":"1","article_type":"original","intvolume":"       181","department":[{"_id":"JaMa"}],"publisher":"Springer Nature","quality_controlled":"1","citation":{"ista":"Maas J, Mielke A. 2020. Modeling of chemical reaction systems with detailed balance using gradient structures. Journal of Statistical Physics. 181(6), 2257–2303.","short":"J. Maas, A. Mielke, Journal of Statistical Physics 181 (2020) 2257–2303.","mla":"Maas, Jan, and Alexander Mielke. “Modeling of Chemical Reaction Systems with Detailed Balance Using Gradient Structures.” <i>Journal of Statistical Physics</i>, vol. 181, no. 6, Springer Nature, 2020, pp. 2257–303, doi:<a href=\"https://doi.org/10.1007/s10955-020-02663-4\">10.1007/s10955-020-02663-4</a>.","ieee":"J. Maas and A. Mielke, “Modeling of chemical reaction systems with detailed balance using gradient structures,” <i>Journal of Statistical Physics</i>, vol. 181, no. 6. Springer Nature, pp. 2257–2303, 2020.","apa":"Maas, J., &#38; Mielke, A. (2020). Modeling of chemical reaction systems with detailed balance using gradient structures. <i>Journal of Statistical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10955-020-02663-4\">https://doi.org/10.1007/s10955-020-02663-4</a>","ama":"Maas J, Mielke A. Modeling of chemical reaction systems with detailed balance using gradient structures. <i>Journal of Statistical Physics</i>. 2020;181(6):2257-2303. doi:<a href=\"https://doi.org/10.1007/s10955-020-02663-4\">10.1007/s10955-020-02663-4</a>","chicago":"Maas, Jan, and Alexander Mielke. “Modeling of Chemical Reaction Systems with Detailed Balance Using Gradient Structures.” <i>Journal of Statistical Physics</i>. Springer Nature, 2020. <a href=\"https://doi.org/10.1007/s10955-020-02663-4\">https://doi.org/10.1007/s10955-020-02663-4</a>."},"ddc":["510"],"date_published":"2020-12-01T00:00:00Z","corr_author":"1","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication_status":"published","pmid":1,"publication":"Journal of Statistical Physics","file_date_updated":"2021-02-04T10:29:11Z","date_updated":"2025-06-12T07:01:39Z","abstract":[{"lang":"eng","text":"We consider various modeling levels for spatially homogeneous chemical reaction systems, namely the chemical master equation, the chemical Langevin dynamics, and the reaction-rate equation. Throughout we restrict our study to the case where the microscopic system satisfies the detailed-balance condition. The latter allows us to enrich the systems with a gradient structure, i.e. the evolution is given by a gradient-flow equation. We present the arising links between the associated gradient structures that are driven by the relative entropy of the detailed-balance steady state. The limit of large volumes is studied in the sense of evolutionary Γ-convergence of gradient flows. Moreover, we use the gradient structures to derive hybrid models for coupling different modeling levels."}],"project":[{"_id":"256E75B8-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"716117","name":"Optimal Transport and Stochastic Dynamics"},{"_id":"260482E2-B435-11E9-9278-68D0E5697425","grant_number":"F06504","name":"Taming Complexity in Partial Differential Systems","call_identifier":"FWF"}],"date_created":"2020-11-15T23:01:18Z","external_id":{"pmid":["33268907"],"arxiv":["2004.02831"],"isi":["000587107200002"]},"title":"Modeling of chemical reaction systems with detailed balance using gradient structures","author":[{"orcid":"0000-0002-0845-1338","last_name":"Maas","first_name":"Jan","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87","full_name":"Maas, Jan"},{"full_name":"Mielke, Alexander","last_name":"Mielke","first_name":"Alexander"}]},{"month":"01","arxiv":1,"isi":1,"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"language":[{"iso":"eng"}],"file":[{"access_level":"open_access","creator":"dernst","file_id":"7209","file_name":"2019_JourStatistPhysics_Carlen.pdf","date_updated":"2020-07-14T12:47:28Z","checksum":"7b04befbdc0d4982c0ee945d25d19872","file_size":905538,"content_type":"application/pdf","date_created":"2019-12-23T12:03:09Z","relation":"main_file"}],"oa":1,"year":"2020","page":"319-378","has_accepted_license":"1","related_material":{"link":[{"relation":"erratum","url":"https://doi.org/10.1007/s10955-020-02671-4"}]},"doi":"10.1007/s10955-019-02434-w","issue":"2","volume":178,"ec_funded":1,"status":"public","publication_identifier":{"issn":["0022-4715"],"eissn":["1572-9613"]},"type":"journal_article","title":"Non-commutative calculus, optimal transport and functional inequalities  in dissipative quantum systems","author":[{"first_name":"Eric A.","last_name":"Carlen","full_name":"Carlen, Eric A."},{"last_name":"Maas","first_name":"Jan","orcid":"0000-0002-0845-1338","full_name":"Maas, Jan","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87"}],"date_created":"2019-04-30T07:34:18Z","external_id":{"pmid":["33223567"],"isi":["000498933300001"],"arxiv":["1811.04572"]},"project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"},{"_id":"256E75B8-B435-11E9-9278-68D0E5697425","grant_number":"716117","name":"Optimal Transport and Stochastic Dynamics","call_identifier":"H2020"},{"call_identifier":"FWF","grant_number":"F06504","name":"Taming Complexity in Partial Differential Systems","_id":"260482E2-B435-11E9-9278-68D0E5697425"}],"abstract":[{"text":"We study dynamical optimal transport metrics between density matricesassociated to symmetric Dirichlet forms on finite-dimensional C∗-algebras.  Our settingcovers  arbitrary  skew-derivations  and  it  provides  a  unified  framework  that  simultaneously  generalizes  recently  constructed  transport  metrics  for  Markov  chains,  Lindblad  equations,  and  the  Fermi  Ornstein–Uhlenbeck  semigroup.   We  develop  a  non-nommutative differential calculus that allows us to obtain non-commutative Ricci curvature  bounds,  logarithmic  Sobolev  inequalities,  transport-entropy  inequalities,  andspectral gap estimates.","lang":"eng"}],"date_updated":"2025-06-12T07:27:20Z","publication":"Journal of Statistical Physics","file_date_updated":"2020-07-14T12:47:28Z","pmid":1,"publication_status":"published","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","corr_author":"1","date_published":"2020-01-01T00:00:00Z","ddc":["500"],"citation":{"chicago":"Carlen, Eric A., and Jan Maas. “Non-Commutative Calculus, Optimal Transport and Functional Inequalities  in Dissipative Quantum Systems.” <i>Journal of Statistical Physics</i>. Springer Nature, 2020. <a href=\"https://doi.org/10.1007/s10955-019-02434-w\">https://doi.org/10.1007/s10955-019-02434-w</a>.","ama":"Carlen EA, Maas J. Non-commutative calculus, optimal transport and functional inequalities  in dissipative quantum systems. <i>Journal of Statistical Physics</i>. 2020;178(2):319-378. doi:<a href=\"https://doi.org/10.1007/s10955-019-02434-w\">10.1007/s10955-019-02434-w</a>","apa":"Carlen, E. A., &#38; Maas, J. (2020). Non-commutative calculus, optimal transport and functional inequalities  in dissipative quantum systems. <i>Journal of Statistical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10955-019-02434-w\">https://doi.org/10.1007/s10955-019-02434-w</a>","short":"E.A. Carlen, J. Maas, Journal of Statistical Physics 178 (2020) 319–378.","mla":"Carlen, Eric A., and Jan Maas. “Non-Commutative Calculus, Optimal Transport and Functional Inequalities  in Dissipative Quantum Systems.” <i>Journal of Statistical Physics</i>, vol. 178, no. 2, Springer Nature, 2020, pp. 319–78, doi:<a href=\"https://doi.org/10.1007/s10955-019-02434-w\">10.1007/s10955-019-02434-w</a>.","ieee":"E. A. Carlen and J. Maas, “Non-commutative calculus, optimal transport and functional inequalities  in dissipative quantum systems,” <i>Journal of Statistical Physics</i>, vol. 178, no. 2. Springer Nature, pp. 319–378, 2020.","ista":"Carlen EA, Maas J. 2020. Non-commutative calculus, optimal transport and functional inequalities  in dissipative quantum systems. Journal of Statistical Physics. 178(2), 319–378."},"quality_controlled":"1","publisher":"Springer Nature","department":[{"_id":"JaMa"}],"intvolume":"       178","article_type":"original","scopus_import":"1","article_processing_charge":"Yes (via OA deal)","oa_version":"Published Version","_id":"6358","day":"01"},{"project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"},{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227"}],"external_id":{"isi":["000556199700003"]},"date_created":"2020-01-07T09:42:03Z","title":"Divergence of the effective mass of a polaron in the strong coupling limit","author":[{"first_name":"Elliott H.","last_name":"Lieb","full_name":"Lieb, Elliott H."},{"full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert","orcid":"0000-0002-6781-0521"}],"date_updated":"2025-04-14T07:27:01Z","abstract":[{"lang":"eng","text":"We consider the Fröhlich model of a polaron, and show that its effective mass diverges in thestrong coupling limit."}],"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","publication_status":"published","file_date_updated":"2020-11-19T11:13:55Z","publication":"Journal of Statistical Physics","date_published":"2020-09-01T00:00:00Z","corr_author":"1","citation":{"ista":"Lieb EH, Seiringer R. 2020. Divergence of the effective mass of a polaron in the strong coupling limit. Journal of Statistical Physics. 180, 23–33.","ieee":"E. H. Lieb and R. Seiringer, “Divergence of the effective mass of a polaron in the strong coupling limit,” <i>Journal of Statistical Physics</i>, vol. 180. Springer Nature, pp. 23–33, 2020.","mla":"Lieb, Elliott H., and Robert Seiringer. “Divergence of the Effective Mass of a Polaron in the Strong Coupling Limit.” <i>Journal of Statistical Physics</i>, vol. 180, Springer Nature, 2020, pp. 23–33, doi:<a href=\"https://doi.org/10.1007/s10955-019-02322-3\">10.1007/s10955-019-02322-3</a>.","short":"E.H. Lieb, R. Seiringer, Journal of Statistical Physics 180 (2020) 23–33.","ama":"Lieb EH, Seiringer R. Divergence of the effective mass of a polaron in the strong coupling limit. <i>Journal of Statistical Physics</i>. 2020;180:23-33. doi:<a href=\"https://doi.org/10.1007/s10955-019-02322-3\">10.1007/s10955-019-02322-3</a>","apa":"Lieb, E. H., &#38; Seiringer, R. (2020). Divergence of the effective mass of a polaron in the strong coupling limit. <i>Journal of Statistical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10955-019-02322-3\">https://doi.org/10.1007/s10955-019-02322-3</a>","chicago":"Lieb, Elliott H., and Robert Seiringer. “Divergence of the Effective Mass of a Polaron in the Strong Coupling Limit.” <i>Journal of Statistical Physics</i>. Springer Nature, 2020. <a href=\"https://doi.org/10.1007/s10955-019-02322-3\">https://doi.org/10.1007/s10955-019-02322-3</a>."},"quality_controlled":"1","ddc":["510","530"],"publisher":"Springer Nature","scopus_import":"1","article_type":"original","intvolume":"       180","department":[{"_id":"RoSe"}],"day":"01","_id":"7235","article_processing_charge":"Yes (via OA deal)","oa_version":"Published Version","month":"09","isi":1,"year":"2020","oa":1,"file":[{"relation":"main_file","date_created":"2020-11-19T11:13:55Z","file_name":"2020_JourStatPhysics_Lieb.pdf","date_updated":"2020-11-19T11:13:55Z","file_size":279749,"checksum":"1e67bee6728592f7bdcea2ad2d9366dc","content_type":"application/pdf","file_id":"8774","creator":"dernst","success":1,"access_level":"open_access"}],"language":[{"iso":"eng"}],"tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"doi":"10.1007/s10955-019-02322-3","page":"23-33","has_accepted_license":"1","volume":180,"publication_identifier":{"issn":["0022-4715"],"eissn":["1572-9613"]},"status":"public","ec_funded":1,"acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria). Financial support through the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 694227; R.S.) is gratefully acknowledged.","type":"journal_article"},{"day":"21","article_processing_charge":"Yes (via OA deal)","oa_version":"Published Version","_id":"7508","scopus_import":"1","article_type":"original","department":[{"_id":"RoSe"}],"intvolume":"       178","publisher":"Springer Nature","quality_controlled":"1","citation":{"mla":"Bossmann, Lea, et al. “Higher Order Corrections to the Mean-Field Description of the Dynamics of Interacting Bosons.” <i>Journal of Statistical Physics</i>, vol. 178, Springer Nature, 2020, pp. 1362–96, doi:<a href=\"https://doi.org/10.1007/s10955-020-02500-8\">10.1007/s10955-020-02500-8</a>.","short":"L. Bossmann, N. Pavlović, P. Pickl, A. Soffer, Journal of Statistical Physics 178 (2020) 1362–1396.","ieee":"L. Bossmann, N. Pavlović, P. Pickl, and A. Soffer, “Higher order corrections to the mean-field description of the dynamics of interacting bosons,” <i>Journal of Statistical Physics</i>, vol. 178. Springer Nature, pp. 1362–1396, 2020.","ista":"Bossmann L, Pavlović N, Pickl P, Soffer A. 2020. Higher order corrections to the mean-field description of the dynamics of interacting bosons. Journal of Statistical Physics. 178, 1362–1396.","chicago":"Bossmann, Lea, Nataša Pavlović, Peter Pickl, and Avy Soffer. “Higher Order Corrections to the Mean-Field Description of the Dynamics of Interacting Bosons.” <i>Journal of Statistical Physics</i>. Springer Nature, 2020. <a href=\"https://doi.org/10.1007/s10955-020-02500-8\">https://doi.org/10.1007/s10955-020-02500-8</a>.","ama":"Bossmann L, Pavlović N, Pickl P, Soffer A. Higher order corrections to the mean-field description of the dynamics of interacting bosons. <i>Journal of Statistical Physics</i>. 2020;178:1362-1396. doi:<a href=\"https://doi.org/10.1007/s10955-020-02500-8\">10.1007/s10955-020-02500-8</a>","apa":"Bossmann, L., Pavlović, N., Pickl, P., &#38; Soffer, A. (2020). Higher order corrections to the mean-field description of the dynamics of interacting bosons. <i>Journal of Statistical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10955-020-02500-8\">https://doi.org/10.1007/s10955-020-02500-8</a>"},"ddc":["510"],"date_published":"2020-02-21T00:00:00Z","corr_author":"1","publication_status":"published","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","file_date_updated":"2020-11-20T09:26:46Z","publication":"Journal of Statistical Physics","date_updated":"2025-04-14T07:44:03Z","abstract":[{"lang":"eng","text":"In this paper, we introduce a novel method for deriving higher order corrections to the mean-field description of the dynamics of interacting bosons. More precisely, we consider the dynamics of N d-dimensional bosons for large N. The bosons initially form a Bose–Einstein condensate and interact with each other via a pair potential of the form (N−1)−1Ndβv(Nβ·)forβ∈[0,14d). We derive a sequence of N-body functions which approximate the true many-body dynamics in L2(RdN)-norm to arbitrary precision in powers of N−1. The approximating functions are constructed as Duhamel expansions of finite order in terms of the first quantised analogue of a Bogoliubov time evolution."}],"project":[{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"},{"grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425"}],"title":"Higher order corrections to the mean-field description of the dynamics of interacting bosons","author":[{"last_name":"Bossmann","first_name":"Lea","orcid":"0000-0002-6854-1343","full_name":"Bossmann, Lea","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425"},{"first_name":"Nataša","last_name":"Pavlović","full_name":"Pavlović, Nataša"},{"last_name":"Pickl","first_name":"Peter","full_name":"Pickl, Peter"},{"first_name":"Avy","last_name":"Soffer","full_name":"Soffer, Avy"}],"date_created":"2020-02-23T09:45:51Z","external_id":{"isi":["000516342200001"],"arxiv":["1905.06164"]},"type":"journal_article","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria).\r\nL.B. gratefully acknowledges the support by the German Research Foundation (DFG) within the Research Training Group 1838 “Spectral Theory and Dynamics of Quantum Systems”, and wishes to thank Stefan Teufel, Sören Petrat and Marcello Porta for helpful discussions. This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411. N.P. gratefully acknowledges support from NSF grant DMS-1516228 and DMS-1840314. P.P.’s research was funded by DFG Grant no. PI 1114/3-1. Part of this work was done when N.P. and P.P. were visiting CCNU, Wuhan. N.P. and P.P. thank A.S. for his hospitality at CCNU.","publication_identifier":{"issn":["0022-4715"],"eissn":["1572-9613"]},"ec_funded":1,"status":"public","volume":178,"has_accepted_license":"1","page":"1362-1396","doi":"10.1007/s10955-020-02500-8","oa":1,"year":"2020","tmp":{"name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"file":[{"file_name":"2020_JournStatPhysics_Bossmann.pdf","date_updated":"2020-11-20T09:26:46Z","checksum":"643e230bf147e64d9cdb3f6cc573679d","content_type":"application/pdf","file_size":576726,"relation":"main_file","date_created":"2020-11-20T09:26:46Z","creator":"dernst","success":1,"access_level":"open_access","file_id":"8780"}],"language":[{"iso":"eng"}],"arxiv":1,"isi":1,"month":"02"},{"date_created":"2020-04-30T11:38:38Z","title":"Emergent SO(3) symmetry of the frictionless shear jamming transition","author":[{"full_name":"Baity-Jesi, Marco","first_name":"Marco","last_name":"Baity-Jesi"},{"orcid":"0000-0002-1307-5074","first_name":"Carl Peter","last_name":"Goodrich","full_name":"Goodrich, Carl Peter","id":"EB352CD2-F68A-11E9-89C5-A432E6697425"},{"full_name":"Liu, Andrea J.","last_name":"Liu","first_name":"Andrea J."},{"first_name":"Sidney R.","last_name":"Nagel","full_name":"Nagel, Sidney R."},{"last_name":"Sethna","first_name":"James P.","full_name":"Sethna, James P."}],"month":"01","abstract":[{"text":"We study the shear jamming of athermal frictionless soft spheres, and find that in the thermodynamic limit, a shear-jammed state exists with different elastic properties from the isotropically-jammed state. For example, shear-jammed states can have a non-zero residual shear stress in the thermodynamic limit that arises from long-range stress-stress correlations. As a result, the ratio of the shear and bulk moduli, which in isotropically-jammed systems vanishes as the jamming transition is approached from above, instead approaches a constant. Despite these striking differences, we argue that in a deeper sense, the shear jamming and isotropic jamming transitions actually have the same symmetry, and that the differences can be fully understood by rotating the six-dimensional basis of the elastic modulus tensor.","lang":"eng"}],"date_updated":"2021-01-12T08:15:19Z","publication":"Journal of Statistical Physics","language":[{"iso":"eng"}],"year":"2017","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","extern":"1","publication_status":"published","issue":"3-4","doi":"10.1007/s10955-016-1703-9","page":"735-748","date_published":"2017-01-03T00:00:00Z","volume":167,"citation":{"chicago":"Baity-Jesi, Marco, Carl Peter Goodrich, Andrea J. Liu, Sidney R. Nagel, and James P. Sethna. “Emergent SO(3) Symmetry of the Frictionless Shear Jamming Transition.” <i>Journal of Statistical Physics</i>. Springer Nature, 2017. <a href=\"https://doi.org/10.1007/s10955-016-1703-9\">https://doi.org/10.1007/s10955-016-1703-9</a>.","apa":"Baity-Jesi, M., Goodrich, C. P., Liu, A. J., Nagel, S. R., &#38; Sethna, J. P. (2017). Emergent SO(3) symmetry of the frictionless shear jamming transition. <i>Journal of Statistical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s10955-016-1703-9\">https://doi.org/10.1007/s10955-016-1703-9</a>","ama":"Baity-Jesi M, Goodrich CP, Liu AJ, Nagel SR, Sethna JP. Emergent SO(3) symmetry of the frictionless shear jamming transition. <i>Journal of Statistical Physics</i>. 2017;167(3-4):735-748. doi:<a href=\"https://doi.org/10.1007/s10955-016-1703-9\">10.1007/s10955-016-1703-9</a>","mla":"Baity-Jesi, Marco, et al. “Emergent SO(3) Symmetry of the Frictionless Shear Jamming Transition.” <i>Journal of Statistical Physics</i>, vol. 167, no. 3–4, Springer Nature, 2017, pp. 735–48, doi:<a href=\"https://doi.org/10.1007/s10955-016-1703-9\">10.1007/s10955-016-1703-9</a>.","short":"M. Baity-Jesi, C.P. Goodrich, A.J. Liu, S.R. Nagel, J.P. Sethna, Journal of Statistical Physics 167 (2017) 735–748.","ieee":"M. Baity-Jesi, C. P. Goodrich, A. J. Liu, S. R. Nagel, and J. P. Sethna, “Emergent SO(3) symmetry of the frictionless shear jamming transition,” <i>Journal of Statistical Physics</i>, vol. 167, no. 3–4. Springer Nature, pp. 735–748, 2017.","ista":"Baity-Jesi M, Goodrich CP, Liu AJ, Nagel SR, Sethna JP. 2017. Emergent SO(3) symmetry of the frictionless shear jamming transition. Journal of Statistical Physics. 167(3–4), 735–748."},"quality_controlled":"1","status":"public","publisher":"Springer Nature","publication_identifier":{"issn":["0022-4715","1572-9613"]},"intvolume":"       167","article_type":"original","type":"journal_article","_id":"7756","oa_version":"None","article_processing_charge":"No","day":"03"},{"quality_controlled":"1","citation":{"ieee":"L. Erdös, “Linear Boltzmann equation as the long time dynamics of an electron weakly coupled to a phonon field,” <i>Journal of Statistical Physics</i>, vol. 107, no. 5–6. Springer, pp. 1043–1127, 2002.","short":"L. Erdös, Journal of Statistical Physics 107 (2002) 1043–1127.","mla":"Erdös, László. “Linear Boltzmann Equation as the Long Time Dynamics of an Electron Weakly Coupled to a Phonon Field.” <i>Journal of Statistical Physics</i>, vol. 107, no. 5–6, Springer, 2002, pp. 1043–127, doi:<a href=\"https://doi.org/10.1023/A:1015157624384\">10.1023/A:1015157624384</a>.","ista":"Erdös L. 2002. Linear Boltzmann equation as the long time dynamics of an electron weakly coupled to a phonon field. Journal of Statistical Physics. 107(5–6), 1043–1127.","chicago":"Erdös, László. “Linear Boltzmann Equation as the Long Time Dynamics of an Electron Weakly Coupled to a Phonon Field.” <i>Journal of Statistical Physics</i>. Springer, 2002. <a href=\"https://doi.org/10.1023/A:1015157624384\">https://doi.org/10.1023/A:1015157624384</a>.","apa":"Erdös, L. (2002). Linear Boltzmann equation as the long time dynamics of an electron weakly coupled to a phonon field. <i>Journal of Statistical Physics</i>. Springer. <a href=\"https://doi.org/10.1023/A:1015157624384\">https://doi.org/10.1023/A:1015157624384</a>","ama":"Erdös L. Linear Boltzmann equation as the long time dynamics of an electron weakly coupled to a phonon field. <i>Journal of Statistical Physics</i>. 2002;107(5-6):1043-1127. doi:<a href=\"https://doi.org/10.1023/A:1015157624384\">10.1023/A:1015157624384</a>"},"publist_id":"4154","publisher":"Springer","article_type":"original","scopus_import":"1","intvolume":"       107","day":"01","article_processing_charge":"No","oa_version":"Submitted Version","_id":"2738","author":[{"first_name":"László","last_name":"Erdös","orcid":"0000-0001-5366-9603","full_name":"Erdös, László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87"}],"title":"Linear Boltzmann equation as the long time dynamics of an electron weakly coupled to a phonon field","external_id":{"arxiv":["math-ph/0108025"]},"date_created":"2018-12-11T11:59:20Z","date_updated":"2023-07-18T09:08:45Z","abstract":[{"text":"We consider the long time evolution of a quantum particle weakly interacting with a phonon field. We show that in the weak coupling limit the Wigner distribution of the electron density matrix converges to the solution of the linear Boltzmann equation globally in time. The collision kernel is identified as the sum of an emission and an absorption term that depend on the equilibrium distribution of the free phonon modes.","lang":"eng"}],"publication_status":"published","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","publication":"Journal of Statistical Physics","date_published":"2002-06-01T00:00:00Z","volume":107,"publication_identifier":{"issn":["0022-4715"]},"status":"public","acknowledgement":"This work initially was a joint project with H.-T. Yau and several ideas\r\npresented here have been developed in collaboration with him. I would like\r\nto thank him for the invaluable discussions and encouragement through\r\nthe entire work. Part of this project was completed during several visits at\r\nthe Erwin Schrödinger Institute, Vienna, and at the Center of Theoretical\r\nStudies, Hsinchu, Taiwan. The author is grateful for the hospitality and\r\nfinancial support. This work was partially supported by NSF Grant DMS9970323.","type":"journal_article","month":"06","arxiv":1,"extern":"1","year":"2002","language":[{"iso":"eng"}],"page":"1043 - 1127","doi":"10.1023/A:1015157624384","issue":"5-6"},{"month":"01","page":"543 - 601","doi":"10.1023/A:1018667323830","issue":"3-4","extern":"1","year":"2000","language":[{"iso":"eng"}],"publication_identifier":{"issn":["0022-4715"]},"status":"public","volume":100,"type":"journal_article","acknowledgement":"The authors are indebted to H. Spohn for discussions. F.C. and L.E. were partially supported by the Erwin Schrödinger Institute in Vienna (Austria) during their visit, and they thank this institution for its hospitality. This work was supported by the TMR-Network ``Asymptotic Methods in Kinetic Theory'' number ERB FMBX CT97 0157 (F.C., F.F., and P.A.M.) and by NSF Grant DMS-9970323 (L.E.).","date_updated":"2023-05-03T09:02:11Z","abstract":[{"text":"We consider a quantum particle moving in a harmonic exterior potential and linearly coupled to a heat bath of quantum oscillators. Caldeira and Leggett derived the Fokker Planck equation with friction for the Wigner distribution of the particle in the large-temperature limit: however, their (nonrigorous) derivation was not free of criticism, especially since the limiting equation is not of Lindblad form. In this paper we recover the correct form of their result in a rigorous way. We also point out that the source of the diffusion is physically restrictive under this scaling. We investigate the model at a fixed temperature and in the large-time limit, where the origin of the diffusion is a cumulative effect of many resonant collisions. We obtain a heat equation with a friction term for the radial process in phase space and we prove the Einstein relation in this case.","lang":"eng"}],"title":"Fokker-Planck equations as scaling limits of reversible quantum systems","author":[{"full_name":"Castella, François","last_name":"Castella","first_name":"François"},{"full_name":"Erdös, László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5366-9603","first_name":"László","last_name":"Erdös"},{"full_name":"Frommlet, Florian","first_name":"Florian","last_name":"Frommlet"},{"last_name":"Markowich","first_name":"Peter","full_name":"Markowich, Peter"}],"date_created":"2018-12-11T11:59:18Z","date_published":"2000-01-01T00:00:00Z","publication_status":"published","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","publication":"Journal of Statistical Physics","publisher":"Springer","publist_id":"4160","citation":{"apa":"Castella, F., Erdös, L., Frommlet, F., &#38; Markowich, P. (2000). Fokker-Planck equations as scaling limits of reversible quantum systems. <i>Journal of Statistical Physics</i>. Springer. <a href=\"https://doi.org/10.1023/A:1018667323830\">https://doi.org/10.1023/A:1018667323830</a>","ama":"Castella F, Erdös L, Frommlet F, Markowich P. Fokker-Planck equations as scaling limits of reversible quantum systems. <i>Journal of Statistical Physics</i>. 2000;100(3-4):543-601. doi:<a href=\"https://doi.org/10.1023/A:1018667323830\">10.1023/A:1018667323830</a>","chicago":"Castella, François, László Erdös, Florian Frommlet, and Peter Markowich. “Fokker-Planck Equations as Scaling Limits of Reversible Quantum Systems.” <i>Journal of Statistical Physics</i>. Springer, 2000. <a href=\"https://doi.org/10.1023/A:1018667323830\">https://doi.org/10.1023/A:1018667323830</a>.","ista":"Castella F, Erdös L, Frommlet F, Markowich P. 2000. Fokker-Planck equations as scaling limits of reversible quantum systems. Journal of Statistical Physics. 100(3–4), 543–601.","short":"F. Castella, L. Erdös, F. Frommlet, P. Markowich, Journal of Statistical Physics 100 (2000) 543–601.","mla":"Castella, François, et al. “Fokker-Planck Equations as Scaling Limits of Reversible Quantum Systems.” <i>Journal of Statistical Physics</i>, vol. 100, no. 3–4, Springer, 2000, pp. 543–601, doi:<a href=\"https://doi.org/10.1023/A:1018667323830\">10.1023/A:1018667323830</a>.","ieee":"F. Castella, L. Erdös, F. Frommlet, and P. Markowich, “Fokker-Planck equations as scaling limits of reversible quantum systems,” <i>Journal of Statistical Physics</i>, vol. 100, no. 3–4. Springer, pp. 543–601, 2000."},"quality_controlled":"1","day":"01","oa_version":"None","article_processing_charge":"No","_id":"2732","article_type":"original","scopus_import":"1","intvolume":"       100"},{"date_created":"2018-12-11T11:59:15Z","title":"Ergodic properties of the multidimensional rayleigh gas with a semipermeable barrier","author":[{"orcid":"0000-0001-5366-9603","first_name":"László","last_name":"Erdös","full_name":"Erdös, László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Dao","last_name":"Tuyen","full_name":"Tuyen, Dao"}],"date_updated":"2022-02-24T09:39:29Z","main_file_link":[{"url":"https://link.springer.com/article/10.1007/BF01334766"}],"abstract":[{"lang":"eng","text":"We consider a multidimensional system consisting of a particle of mass M and radius r (molecule), surrounded by an infinite ideal gas of point particles of mass m (atoms). The molecule is confined to the unit ball and interacts with its boundary (barrier) via elastic collision, while the atoms are not affected by the boundary. We obtain convergence to equilibrium for the molecule from almost every initial distribution on its position and velocity. Furthermore, we prove that the infinite composite system of the molecule and the atoms is Bernoulli."}],"user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","publication_status":"published","publication":"Journal of Statistical Physics","date_published":"1990-06-01T00:00:00Z","quality_controlled":"1","citation":{"ieee":"L. Erdös and D. Tuyen, “Ergodic properties of the multidimensional rayleigh gas with a semipermeable barrier,” <i>Journal of Statistical Physics</i>, vol. 59, no. 5–6. Springer, pp. 1589–1602, 1990.","short":"L. Erdös, D. Tuyen, Journal of Statistical Physics 59 (1990) 1589–1602.","mla":"Erdös, László, and Dao Tuyen. “Ergodic Properties of the Multidimensional Rayleigh Gas with a Semipermeable Barrier.” <i>Journal of Statistical Physics</i>, vol. 59, no. 5–6, Springer, 1990, pp. 1589–602, doi:<a href=\"https://doi.org/10.1007/BF01334766\">10.1007/BF01334766</a>.","ista":"Erdös L, Tuyen D. 1990. Ergodic properties of the multidimensional rayleigh gas with a semipermeable barrier. Journal of Statistical Physics. 59(5–6), 1589–1602.","chicago":"Erdös, László, and Dao Tuyen. “Ergodic Properties of the Multidimensional Rayleigh Gas with a Semipermeable Barrier.” <i>Journal of Statistical Physics</i>. Springer, 1990. <a href=\"https://doi.org/10.1007/BF01334766\">https://doi.org/10.1007/BF01334766</a>.","ama":"Erdös L, Tuyen D. Ergodic properties of the multidimensional rayleigh gas with a semipermeable barrier. <i>Journal of Statistical Physics</i>. 1990;59(5-6):1589-1602. doi:<a href=\"https://doi.org/10.1007/BF01334766\">10.1007/BF01334766</a>","apa":"Erdös, L., &#38; Tuyen, D. (1990). Ergodic properties of the multidimensional rayleigh gas with a semipermeable barrier. <i>Journal of Statistical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/BF01334766\">https://doi.org/10.1007/BF01334766</a>"},"publist_id":"4171","publisher":"Springer","scopus_import":"1","article_type":"original","intvolume":"        59","day":"01","_id":"2721","article_processing_charge":"No","oa_version":"None","month":"06","year":"1990","extern":"1","language":[{"iso":"eng"}],"issue":"5-6","doi":"10.1007/BF01334766","page":"1589 - 1602","volume":59,"publication_identifier":{"eissn":["1572-9613"],"issn":["0022-4715"]},"status":"public","type":"journal_article"}]