Non-extensive statistical mechanics and generalized Fokker-Planck equation

被引：422

作者：

Plastino, AR ^{[1
]}

Plastino, A ^{[1
]}

机构：

[1] NATL UNIV LA PLATA,FAC CIENCIAS ASTRON & GEOFIS,RA-1900 LA PLATA,ARGENTINA

来源：

PHYSICA A | 1995年 / 222卷 / 1-4期

关键词：

D O I：

10.1016/0378-4371(95)00211-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A non-linear, generalized Fokker-Planck (GFP) equation is studied whose exact stationary solutions are the maximum entropy distributions introduced by Tsallis in his generalization of Statistical Mechanics. In the case of a constant or linearly varying drift, the time dependent solutions of the GFP equation are seen to obey a suitable form of the celebrated H-theorem. The temporal changes of Tsallis' entropies are seen to be given in terms of the Fisher's information measure. Particular time-dependent solutions of the GFP equation of the maximum (Tsallis') entropy form are obtained.

引用

页码：347 / 354

页数：8

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