Perturbation and Variational Methods in Nonextensive Tsallis Statistics

Details Perturbation and Variational Methods in Nonextensive Tsallis Statistics Perturbation and Variational Methods in Nonextensive Tsallis Statistics

1998-04-08

arxiv.org/abs/cond-mat/9804095v1

Phys. Rev. Lett. 80, 218 (1998)

Physics

Condensed Matter

Statistical Mechanics

revtex

Scientific paper

10.1103/PhysRevLett.80.218

A unified presentation of the perturbation and variational methods for the generalized statistical mechanics based on Tsallis entropy is given here. In the case of the variational method, the Bogoliubov inequality is generalized in a very natural way following the Feynman proof for the usual statistical mechanics. The inequality turns out to be form-invariant with respect to the entropic index $q$. The method is illustrated with a simple example in classical mechanics. The formalisms developed here are expected to be useful in the discussion of nonextensive systems.

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