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Nonlinear Fokker–Planck Equations, H-Theorem and Generalized Entropy of a Composed System

We investigate the dynamics of a system composed of two different subsystems when subjected to different nonlinear Fokker–Planck equations by considering the H–theorem. We use the H–theorem to obtain the conditions required to establish a suitable dependence for the system’s interaction that agrees...

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Detalles Bibliográficos
Autores principales: Evangelista, Luiz R., Lenzi, Ervin K.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10528951/
https://www.ncbi.nlm.nih.gov/pubmed/37761656
http://dx.doi.org/10.3390/e25091357
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author Evangelista, Luiz R.
Lenzi, Ervin K.
author_facet Evangelista, Luiz R.
Lenzi, Ervin K.
author_sort Evangelista, Luiz R.
collection PubMed
description We investigate the dynamics of a system composed of two different subsystems when subjected to different nonlinear Fokker–Planck equations by considering the H–theorem. We use the H–theorem to obtain the conditions required to establish a suitable dependence for the system’s 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.
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spelling pubmed-105289512023-09-28 Nonlinear Fokker–Planck Equations, H-Theorem and Generalized Entropy of a Composed System Evangelista, Luiz R. Lenzi, Ervin K. Entropy (Basel) Article We investigate the dynamics of a system composed of two different subsystems when subjected to different nonlinear Fokker–Planck equations by considering the H–theorem. We use the H–theorem to obtain the conditions required to establish a suitable dependence for the system’s 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. MDPI 2023-09-20 /pmc/articles/PMC10528951/ /pubmed/37761656 http://dx.doi.org/10.3390/e25091357 Text en © 2023 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Evangelista, Luiz R.
Lenzi, Ervin K.
Nonlinear Fokker–Planck Equations, H-Theorem and Generalized Entropy of a Composed System
title Nonlinear Fokker–Planck Equations, H-Theorem and Generalized Entropy of a Composed System
title_full Nonlinear Fokker–Planck Equations, H-Theorem and Generalized Entropy of a Composed System
title_fullStr Nonlinear Fokker–Planck Equations, H-Theorem and Generalized Entropy of a Composed System
title_full_unstemmed Nonlinear Fokker–Planck Equations, H-Theorem and Generalized Entropy of a Composed System
title_short Nonlinear Fokker–Planck Equations, H-Theorem and Generalized Entropy of a Composed System
title_sort nonlinear fokker–planck equations, h-theorem and generalized entropy of a composed system
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10528951/
https://www.ncbi.nlm.nih.gov/pubmed/37761656
http://dx.doi.org/10.3390/e25091357
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