Nonlinear Fokker-Planck equations and generalized entropies

被引：46

作者：

Martinez, S

Plastino, AR

Plastino, A

机构：

[1] Natl Univ La Plata, Dept Phys, RA-1900 La Plata, Argentina

[2] Natl Univ La Plata, Fac Astron & Geophys, RA-1900 La Plata, Argentina

[3] CONICET, Argentine Natl Res Council, La Plata, Buenos Aires, Argentina

来源：

PHYSICA A | 1998年 / 259卷 / 1-2期

关键词：

D O I：

10.1016/S0378-4371(98)00277-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider maximum entropy solutions to Nonlinear Fokker-Planck equations within general thermostatistical formalisms. We show that the family of generalized nonextensive entropies introduced by Tsallis is the only one that has an associated family of nonlinear Fokker-Planck equations endowed with time-dependent MaxEnt solutions of a generalized Gaussian type. Con sequently, the natural association that arises between Tsallis' thermostatistical formalism and special families of nonlinear Fokker-Planck equations is NOT a universal feature of general thermostatistical formalisms, but a particular feature of the Tsallis? one. (C) 1998 Elsevier Science B,V. All rights reserved.

引用

页码：183 / 192

页数：10

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[21] Some general relations in arbitrary thermostatistics [J].