Equivalence among different formalisms in the Tsallis entropy framework
Abstract
In a recent paper [Phys. Lett. A {\bf335}, 351 (2005)] the authors discussed the equivalence among the various probability distribution functions of a system in equilibrium in the Tsallis entropy framework. In the present letter we extend these results to a system which is out of equilibrium and evolves to a stationary state according to a nonlinear Fokker-Planck equation. By means of time-scale conversion, it is shown that there exists a ``correspondence'' among the self-similar solutions of the nonlinear Fokker-Planck equations associated with the different Tsallis formalisms. The time-scale conversion is related to the corresponding Lyapunov functions of the respective nonlinear Fokker-Planck equations.
Keywords
Cite
@article{arxiv.cond-mat/0608138,
title = {Equivalence among different formalisms in the Tsallis entropy framework},
author = {A. M. Scarfone and T. Wada},
journal= {arXiv preprint arXiv:cond-mat/0608138},
year = {2009}
}
Comments
20 pages, 1 figure, Elsart macro style, version accepted on Physica A