Free-energy formalism for inhomogeneous nonlinear Fokker-Planck equations

Peter Rapčan (), Gabriele Sicuro () and Constantino Tsallis ()
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Peter Rapčan: Centro Brasileiro de Pesquisas Físicas
Gabriele Sicuro: Centro Brasileiro de Pesquisas Físicas
Constantino Tsallis: Centro Brasileiro de Pesquisas Físicas and National Institute of Science and Technology of Complex Systems

A chapter in Physical and Mathematical Aspects of Symmetries, 2017, pp 401-403 from Springer

Abstract: Abstract We extend the free-energy formalism recently introduced for homogeneous Fokker–Planck equations to a wide class of inhomogeneous nonlinear Fokker–Planck equations, providing sufficient conditions for the equation coefficients to obtain a free-energy that does not increase with time. Some properties of the stationary solutions of these Fokker–Planck equations are discussed.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-69164-0_64

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DOI: 10.1007/978-3-319-69164-0_64

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