{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T11:21:08Z","timestamp":1773228068673,"version":"3.50.1"},"reference-count":52,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2023,9,20]],"date-time":"2023-09-20T00:00:00Z","timestamp":1695168000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"CNPq","award":["301715\/2022-0"],"award-info":[{"award-number":["301715\/2022-0"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>We investigate the dynamics of a system composed of two different subsystems when subjected to different nonlinear Fokker\u2013Planck equations by considering the H\u2013theorem. We use the H\u2013theorem to obtain the conditions required to establish a suitable dependence for the system\u2019s interaction that agrees with the thermodynamics law when the nonlinearity in these equations is the same. In this framework, we also consider different dynamical aspects of each subsystem and investigate a possible expression for the entropy of the composite system.<\/jats:p>","DOI":"10.3390\/e25091357","type":"journal-article","created":{"date-parts":[[2023,9,19]],"date-time":"2023-09-19T23:11:52Z","timestamp":1695165112000},"page":"1357","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Nonlinear Fokker\u2013Planck Equations, H-Theorem and Generalized Entropy of a Composed System"],"prefix":"10.3390","volume":"25","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7202-1386","authenticated-orcid":false,"given":"Luiz R.","family":"Evangelista","sequence":"first","affiliation":[{"name":"Dipartimento di Scienza Applicata e Tecnologia (DISAT) del Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy"},{"name":"Istituto dei Sistemi Complessi del Consiglio Nazionale delle Ricerche (ISC-CNR) co Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy"},{"name":"Departamento de F\u00edsica, Universidade Estadual de Maring\u00e1, Avenida Colombo, 5790, Maring\u00e1 87020-900, Paran\u00e1, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3853-1790","authenticated-orcid":false,"given":"Ervin K.","family":"Lenzi","sequence":"additional","affiliation":[{"name":"Departamento de F\u00edsica, Universidade Estadual de Ponta Grossa, Avenida General Carlos Cavalcanti, 4748, Ponta Grossa 84030-900, Paran\u00e1, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,9,20]]},"reference":[{"key":"ref_1","unstructured":"Clausius, R. 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