Multivariate nonlinear Fokker–Planck equations and generalized thermostatistics

Multivariate nonlinear Fokker–Planck equations are derived which are solved by equilibrium distributions of generalized thermostatistics. The multivariate Fokker–Planck equations proposed by Kaniadakis and by Borland et al. are re-obtained as special cases. Furthermore, a Kramers equation is derived for particles obeying the nonextensive thermostatistics proposed by Tsallis.

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Year of publication:	2001
Authors:	Frank, T.D. ; Daffertshofer, A.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 292.2001, 1, p. 392-410
Publisher:	Elsevier
Subject:	Nonlinear Fokker–Planck equation \| Generalized entropy \| Canonical ensembles \| Bose and Fermi systems \| Second law of thermodynamics

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010588662