{"volume":12,"ddc":["510"],"_id":"18107","title":"Pressure of a dilute spin-polarized Fermi gas: Lower bound","file":[{"content_type":"application/pdf","success":1,"relation":"main_file","file_id":"18126","date_updated":"2024-09-23T09:56:17Z","file_size":599886,"file_name":"2024_ForumMath_Lauritsen.pdf","access_level":"open_access","checksum":"330b881240013213a8e08538fec13d29","date_created":"2024-09-23T09:56:17Z","creator":"dernst"}],"external_id":{"arxiv":["2407.05990"]},"abstract":[{"lang":"eng","text":"We consider a dilute fully spin-polarized Fermi gas at positive temperature in dimensions  d∈{1,2,3} . We show that the pressure of the interacting gas is bounded from below by that of the free gas plus, to leading order, an explicit term of order  adρ2+2/d, where a is the p-wave scattering length of the repulsive interaction and  ρ  is the particle density. The results are valid for a wide range of repulsive interactions, including that of a hard core, and uniform in temperatures at most of the order of the Fermi temperature. A central ingredient in the proof is a rigorous implementation of the fermionic cluster expansion of Gaudin, Gillespie and Ripka (Nucl. Phys. A, 176.2 (1971), pp. 237–260)."}],"publication_status":"published","project":[{"name":"Mathematical Challenges in BCS Theory of Superconductivity","_id":"bda63fe5-d553-11ed-ba76-a16e3d2f256b","grant_number":"I06427"}],"intvolume":"        12","article_processing_charge":"Yes (via OA deal)","has_accepted_license":"1","quality_controlled":"1","month":"09","scopus_import":"1","publication":"Forum of Mathematics, Sigma","year":"2024","publication_identifier":{"issn":["2050-5094"]},"doi":"10.1017/fms.2024.56","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png"},"oa":1,"department":[{"_id":"GradSch"},{"_id":"RoSe"}],"acknowledgement":"Financial support by the Austrian Science Fund (FWF) through grant DOI: 10.55776/I6427 (as part of the SFB/TRR 352) is gratefully acknowledged.","type":"journal_article","publisher":"Cambridge University Press","citation":{"mla":"Lauritsen, Asbjørn Bækgaard, and Robert Seiringer. “Pressure of a Dilute Spin-Polarized Fermi Gas: Lower Bound.” <i>Forum of Mathematics, Sigma</i>, vol. 12, e78, Cambridge University Press, 2024, doi:<a href=\"https://doi.org/10.1017/fms.2024.56\">10.1017/fms.2024.56</a>.","short":"A.B. Lauritsen, R. Seiringer, Forum of Mathematics, Sigma 12 (2024).","chicago":"Lauritsen, Asbjørn Bækgaard, and Robert Seiringer. “Pressure of a Dilute Spin-Polarized Fermi Gas: Lower Bound.” <i>Forum of Mathematics, Sigma</i>. Cambridge University Press, 2024. <a href=\"https://doi.org/10.1017/fms.2024.56\">https://doi.org/10.1017/fms.2024.56</a>.","ama":"Lauritsen AB, Seiringer R. Pressure of a dilute spin-polarized Fermi gas: Lower bound. <i>Forum of Mathematics, Sigma</i>. 2024;12. doi:<a href=\"https://doi.org/10.1017/fms.2024.56\">10.1017/fms.2024.56</a>","apa":"Lauritsen, A. B., &#38; Seiringer, R. (2024). Pressure of a dilute spin-polarized Fermi gas: Lower bound. <i>Forum of Mathematics, Sigma</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/fms.2024.56\">https://doi.org/10.1017/fms.2024.56</a>","ista":"Lauritsen AB, Seiringer R. 2024. Pressure of a dilute spin-polarized Fermi gas: Lower bound. Forum of Mathematics, Sigma. 12, e78.","ieee":"A. B. Lauritsen and R. Seiringer, “Pressure of a dilute spin-polarized Fermi gas: Lower bound,” <i>Forum of Mathematics, Sigma</i>, vol. 12. Cambridge University Press, 2024."},"corr_author":"1","article_number":"e78","date_updated":"2024-09-26T13:14:39Z","oa_version":"Published Version","file_date_updated":"2024-09-23T09:56:17Z","status":"public","day":"09","related_material":{"record":[{"id":"18135","relation":"dissertation_contains","status":"for_moderation"}]},"date_published":"2024-09-09T00:00:00Z","article_type":"original","language":[{"iso":"eng"}],"author":[{"last_name":"Lauritsen","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","full_name":"Lauritsen, Asbjørn Bækgaard","first_name":"Asbjørn Bækgaard","orcid":"0000-0003-4476-2288"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","first_name":"Robert"}],"date_created":"2024-09-20T12:25:25Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87"}