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By A. M. Scarfone and T. Wada


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

Topics: Key words, Tsallis entropy, nonlinear Fokker-Planck equation, escort probability, Lyapunov function
Year: 2007
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