Possible dynamics of the Tsallis distribution from a Fokker-Planck equation (I)

Abstract

The dynamical property of the Tsallis distribution is studied from a Fokker-Planck equation. For the Langevin dynamical system with an arbitrary potential function, Markovian friction and Gaussian white noise, we show that no possible nonequilibrium dynamics can use the Tsallis distribution for the statistical description. The current form of the Tsallis distribution stands for a simple isothermal situation with no friction and no noise.

7 pages;16 refrences

References in corpus (2)

• A nonextensive approach for the instability of current-driven ion-acoustic waves in space plasma
• Simulated Dark-Matter Halos as a Test of Nonextensive Statistical Mechanics

Cited by in corpus (4)

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• Power-law distributions and fluctuation-dissipation relation in the stochastic dynamics of two-variable Langevin equations
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