Multivariate nonlinear Fokker–Planck equations and generalized thermostatistics

T.D. Frank and A. Daffertshofer

Physica A: Statistical Mechanics and its Applications, 2001, vol. 292, issue 1, 392-410

Abstract: 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.

Keywords: Nonlinear Fokker–Planck equation; Generalized entropy; Canonical ensembles; Bose and Fermi systems; Second law of thermodynamics (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:292:y:2001:i:1:p:392-410

DOI: 10.1016/S0378-4371(00)00559-8

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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