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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...
Autores principales: | , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2023
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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. |
format | Online Article Text |
id | pubmed-10528951 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2023 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
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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