Non-extensive statistical mechanics and generalized Fokker-Planck equation

A.R. Plastino and A. Plastino

Physica A: Statistical Mechanics and its Applications, 1995, vol. 222, issue 1, 347-354

Abstract: 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.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:222:y:1995:i:1:p:347-354

DOI: 10.1016/0378-4371(95)00211-1

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