{"keyword":["interacting particle systems","higher-order fields","hydrodynamic limit","equilibrium fluctuations","duality"],"date_created":"2022-01-10T14:02:31Z","volume":27,"date_updated":"2022-01-10T15:29:08Z","page":"339-380","month":"03","_id":"10613","title":"Higher-order hydrodynamics and equilibrium fluctuations of interacting particle systems","department":[{"_id":"JaMa"}],"author":[{"first_name":"Joe P.","last_name":"Chen","full_name":"Chen, Joe P."},{"last_name":"Sau","full_name":"Sau, Federico","first_name":"Federico","id":"E1836206-9F16-11E9-8814-AEFDE5697425"}],"year":"2021","type":"journal_article","oa":1,"oa_version":"Preprint","publication_status":"published","acknowledgement":"F.S. would like to thank Mario Ayala and Frank Redig for useful discussions. J.P.C. acknowledges partial financial support from the US National Science Foundation (DMS-1855604). F.S. was financially supported by the European Union’s Horizon 2020 research and innovation programme under the Marie-Skłodowska-Curie grant agreement No. 754411.\r\n","article_type":"original","intvolume":"        27","publication":"Markov Processes And Related Fields","quality_controlled":"1","external_id":{"arxiv":["2008.13403"]},"publication_identifier":{"issn":["1024-2953"]},"date_published":"2021-03-16T00:00:00Z","project":[{"name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"754411"}],"main_file_link":[{"url":"https://arxiv.org/abs/2008.13403","open_access":"1"}],"ec_funded":1,"status":"public","day":"16","citation":{"chicago":"Chen, Joe P., and Federico Sau. “Higher-Order Hydrodynamics and Equilibrium Fluctuations of Interacting Particle Systems.” <i>Markov Processes And Related Fields</i>. Polymat Publishing, 2021.","ama":"Chen JP, Sau F. Higher-order hydrodynamics and equilibrium fluctuations of interacting particle systems. <i>Markov Processes And Related Fields</i>. 2021;27(3):339-380.","ieee":"J. P. Chen and F. Sau, “Higher-order hydrodynamics and equilibrium fluctuations of interacting particle systems,” <i>Markov Processes And Related Fields</i>, vol. 27, no. 3. Polymat Publishing, pp. 339–380, 2021.","ista":"Chen JP, Sau F. 2021. Higher-order hydrodynamics and equilibrium fluctuations of interacting particle systems. Markov Processes And Related Fields. 27(3), 339–380.","mla":"Chen, Joe P., and Federico Sau. “Higher-Order Hydrodynamics and Equilibrium Fluctuations of Interacting Particle Systems.” <i>Markov Processes And Related Fields</i>, vol. 27, no. 3, Polymat Publishing, 2021, pp. 339–80.","apa":"Chen, J. P., &#38; Sau, F. (2021). Higher-order hydrodynamics and equilibrium fluctuations of interacting particle systems. <i>Markov Processes And Related Fields</i>. Polymat Publishing.","short":"J.P. Chen, F. Sau, Markov Processes And Related Fields 27 (2021) 339–380."},"user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","abstract":[{"text":"Motivated by the recent preprint [\\emph{arXiv:2004.08412}] by Ayala, Carinci, and Redig, we first provide a general framework for the study of scaling limits of higher-order fields. Then, by considering the same class of infinite interacting particle systems as in [\\emph{arXiv:2004.08412}], namely symmetric simple exclusion and inclusion processes in the d-dimensional Euclidean lattice, we prove the hydrodynamic limit, and convergence for the equilibrium fluctuations, of higher-order fields. In particular, the limit fields exhibit a tensor structure. Our fluctuation result differs from that in [\\emph{arXiv:2004.08412}], since we considered-dimensional Euclidean lattice, we prove the hydrodynamic limit, and convergence for the equilibrium fluctuations, of higher-order fields. In particular, the limit fields exhibit a tensor structure. Our fluctuation result differs from that in [\\emph{arXiv:2004.08412}], since we consider a different notion of higher-order fluctuation fields.","lang":"eng"}],"publisher":"Polymat Publishing","language":[{"iso":"eng"}],"issue":"3","article_processing_charge":"No","related_material":{"link":[{"relation":"other","url":"http://math-mprf.org/journal/articles/id1614/","description":"Link to Abstract on publisher's website"},{"description":"Referred to in Abstract","url":"https://arxiv.org/abs/2004.08412","relation":"used_for_analysis_in"}]}}