Multivariate nonlinear Fokker-Planck equations and generalized thermostatistics

被引：37

作者：

Frank, TD ^{[1
]}

Daffertshofer, A ^{[1
]}

机构：

[1] Free Univ Amsterdam, Fac Human Movement Sci, NL-1081 BT Amsterdam, Netherlands

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2001年 / 292卷 / 1-4期

关键词：

nonlinear Fokker-Planck equation; generalized entropy; canonical ensembles; Bose and Fermi systems; second law of thermodynamics;

D O I：

10.1016/S0378-4371(00)00559-8

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：392 / 410

页数：19

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