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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
Descripción
Sumario: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.