[{"day":"01","quality_controlled":"1","publication":"Nonlinear Dynamics","abstract":[{"lang":"eng","text":"Multistable systems are characterized by exhibiting domain coexistence, where each domain accounts for the different equilibrium states. In case these systems are described by vectorial fields, domains can be connected through topological defects. Vortices are one of the most frequent and studied topological defect points. Optical vortices are equally relevant for their fundamental features as beams with topological features and their applications in image processing, telecommunications, optical tweezers, and quantum information. A natural source of optical vortices is the interaction of light beams with matter vortices in liquid crystal cells. The rhythms that govern the emergence of matter vortices due to fluctuations are not established. Here, we investigate the nucleation mechanisms of the matter vortices in liquid crystal cells and establish statistical laws that govern them. Based on a stochastic amplitude equation, the law for the number of nucleated vortices as a function of anisotropy, voltage, and noise level intensity is set. Experimental observations in a nematic liquid crystal cell with homeotropic anchoring and a negative anisotropic dielectric constant under the influence of a transversal electric field show a qualitative agreement with the theoretical findings."}],"intvolume":"       108","has_accepted_license":"1","publication_status":"published","title":"Vortices nucleation by inherent fluctuations in nematic liquid crystal cells","corr_author":"1","publication_identifier":{"issn":["0924-090X"],"eissn":["1573-269X"]},"volume":108,"scopus_import":"1","month":"06","author":[{"full_name":"Aguilera, Esteban","last_name":"Aguilera","first_name":"Esteban"},{"first_name":"Marcel G.","last_name":"Clerc","full_name":"Clerc, Marcel G."},{"last_name":"Zambra","id":"467ed36b-dc96-11ea-b7c8-b043a380b282","first_name":"Valeska","full_name":"Zambra, Valeska"}],"language":[{"iso":"eng"}],"page":"3209-3218","citation":{"short":"E. Aguilera, M.G. Clerc, V. Zambra, Nonlinear Dynamics 108 (2022) 3209–3218.","chicago":"Aguilera, Esteban, Marcel G. Clerc, and Valeska Zambra. “Vortices Nucleation by Inherent Fluctuations in Nematic Liquid Crystal Cells.” <i>Nonlinear Dynamics</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s11071-022-07396-5\">https://doi.org/10.1007/s11071-022-07396-5</a>.","ista":"Aguilera E, Clerc MG, Zambra V. 2022. Vortices nucleation by inherent fluctuations in nematic liquid crystal cells. Nonlinear Dynamics. 108, 3209–3218.","apa":"Aguilera, E., Clerc, M. G., &#38; Zambra, V. (2022). Vortices nucleation by inherent fluctuations in nematic liquid crystal cells. <i>Nonlinear Dynamics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11071-022-07396-5\">https://doi.org/10.1007/s11071-022-07396-5</a>","ama":"Aguilera E, Clerc MG, Zambra V. Vortices nucleation by inherent fluctuations in nematic liquid crystal cells. <i>Nonlinear Dynamics</i>. 2022;108:3209-3218. doi:<a href=\"https://doi.org/10.1007/s11071-022-07396-5\">10.1007/s11071-022-07396-5</a>","mla":"Aguilera, Esteban, et al. “Vortices Nucleation by Inherent Fluctuations in Nematic Liquid Crystal Cells.” <i>Nonlinear Dynamics</i>, vol. 108, Springer Nature, 2022, pp. 3209–18, doi:<a href=\"https://doi.org/10.1007/s11071-022-07396-5\">10.1007/s11071-022-07396-5</a>.","ieee":"E. Aguilera, M. G. Clerc, and V. Zambra, “Vortices nucleation by inherent fluctuations in nematic liquid crystal cells,” <i>Nonlinear Dynamics</i>, vol. 108. Springer Nature, pp. 3209–3218, 2022."},"isi":1,"article_processing_charge":"Yes (via OA deal)","oa":1,"acknowledgement":"The authors thank Enrique Calisto,Michal Kowalczyk, and Michel Ferre for fructified discussions. This work was funded by ANID—Millennium Science Initiative Program—ICN17_012. MGC is thankful for financial support from the Fondecyt 1210353 project.\r\nOpen access funding provided by Institute of Science and Technology (IST Austria).","external_id":{"isi":["000784871800001"]},"date_updated":"2024-10-09T21:02:21Z","department":[{"_id":"KiMo"}],"file_date_updated":"2022-08-05T06:13:19Z","oa_version":"Published Version","file":[{"relation":"main_file","date_created":"2022-08-05T06:13:19Z","content_type":"application/pdf","success":1,"checksum":"7d80cdece4e1b1c2106e6772a9622f60","access_level":"open_access","date_updated":"2022-08-05T06:13:19Z","creator":"dernst","file_name":"2022_NonlinearDyn_Aguilera.pdf","file_size":1416049,"file_id":"11728"}],"_id":"11343","doi":"10.1007/s11071-022-07396-5","tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"article_type":"original","type":"journal_article","publisher":"Springer Nature","ddc":["530"],"year":"2022","license":"https://creativecommons.org/licenses/by/4.0/","status":"public","date_published":"2022-06-01T00:00:00Z","date_created":"2022-05-02T07:01:59Z","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","keyword":["Electrical and Electronic Engineering","Applied Mathematics","Mechanical Engineering","Ocean Engineering","Aerospace Engineering","Control and Systems Engineering"]},{"date_published":"2021-01-28T00:00:00Z","status":"public","date_created":"2024-04-03T07:41:46Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","keyword":["Artificial Intelligence","Hardware and Architecture","Information Systems","Control and Systems Engineering","Software"],"publisher":"Association for Computing Machinery","type":"journal_article","article_type":"original","issue":"2","year":"2021","oa_version":"Preprint","_id":"15267","article_number":"13","doi":"10.1145/3446383","external_id":{"arxiv":["1703.01859"]},"date_updated":"2024-04-29T06:47:59Z","department":[{"_id":"DaAl"}],"language":[{"iso":"eng"}],"author":[{"first_name":"Artur","last_name":"Czumaj","full_name":"Czumaj, Artur"},{"orcid":"0000-0002-5646-9524","full_name":"Davies, Peter","last_name":"Davies","first_name":"Peter","id":"11396234-BB50-11E9-B24C-90FCE5697425"}],"article_processing_charge":"No","citation":{"chicago":"Czumaj, Artur, and Peter Davies. “Exploiting Spontaneous Transmissions for Broadcasting and Leader Election in Radio Networks.” <i>Journal of the ACM</i>. Association for Computing Machinery, 2021. <a href=\"https://doi.org/10.1145/3446383\">https://doi.org/10.1145/3446383</a>.","ista":"Czumaj A, Davies P. 2021. Exploiting spontaneous transmissions for broadcasting and leader election in radio networks. Journal of the ACM. 68(2), 13.","apa":"Czumaj, A., &#38; Davies, P. (2021). Exploiting spontaneous transmissions for broadcasting and leader election in radio networks. <i>Journal of the ACM</i>. Association for Computing Machinery. <a href=\"https://doi.org/10.1145/3446383\">https://doi.org/10.1145/3446383</a>","ama":"Czumaj A, Davies P. Exploiting spontaneous transmissions for broadcasting and leader election in radio networks. <i>Journal of the ACM</i>. 2021;68(2). doi:<a href=\"https://doi.org/10.1145/3446383\">10.1145/3446383</a>","short":"A. Czumaj, P. Davies, Journal of the ACM 68 (2021).","mla":"Czumaj, Artur, and Peter Davies. “Exploiting Spontaneous Transmissions for Broadcasting and Leader Election in Radio Networks.” <i>Journal of the ACM</i>, vol. 68, no. 2, 13, Association for Computing Machinery, 2021, doi:<a href=\"https://doi.org/10.1145/3446383\">10.1145/3446383</a>.","ieee":"A. Czumaj and P. Davies, “Exploiting spontaneous transmissions for broadcasting and leader election in radio networks,” <i>Journal of the ACM</i>, vol. 68, no. 2. Association for Computing Machinery, 2021."},"oa":1,"arxiv":1,"publication_identifier":{"issn":["0004-5411"],"eissn":["1557-735X"]},"month":"01","volume":68,"abstract":[{"lang":"eng","text":"We study two fundamental communication primitives: broadcasting and leader election in the classical model of multi-hop radio networks with unknown topology and without collision detection mechanisms. It has been known for almost 20 years that in undirected networks with n nodes and diameter D, randomized broadcasting requires Ω(D log n/D + log2 n) rounds, assuming that uninformed nodes are not allowed to communicate (until they are informed). Only very recently, Haeupler and Wajc (PODC'2016) showed that this bound can be improved for the model with spontaneous transmissions, providing an O(D log n log log n/log D + logO(1) n)-time broadcasting algorithm. In this article, we give a new and faster algorithm that completes broadcasting in O(D log n/log D + logO(1) n) time, succeeding with high probability. This yields the first optimal O(D)-time broadcasting algorithm whenever n is polynomial in D.\r\n\r\nFurthermore, our approach can be applied to design a new leader election algorithm that matches the performance of our broadcasting algorithm. Previously, all fast randomized leader election algorithms have used broadcasting as a subroutine and their complexity has been asymptotically strictly larger than the complexity of broadcasting. In particular, the fastest previously known randomized leader election algorithm of Ghaffari and Haeupler (SODA'2013) requires O(D log n/D min {log log n, log n/D} + logO(1) n)-time, succeeding with high probability. Our new algorithm again requires O(D log n/log D + logO(1) n) time, also succeeding with high probability."}],"intvolume":"        68","publication":"Journal of the ACM","publication_status":"published","title":"Exploiting spontaneous transmissions for broadcasting and leader election in radio networks","day":"28","quality_controlled":"1","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.1703.01859","open_access":"1"}]}]