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arXiv · 0905.4310

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

Jiulin Du
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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.

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Jiulin Du. 2009-05-27. Possible dynamics of the Tsallis distribution from a Fokker-Planck equation (I). https://doi.org/10.1088/1674-1056/19/4/040501

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