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.
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页码：183 / 192
页数：10
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