Some dynamical property of the Tsallis distribution from a Fokker－Planck equation

doi:10.1088/1674-1056/19/4/040501

Abstract This paper studies the possible dynamical property of the Tsallis distribution from a Fokker--Planck equation. For the Langevin dynamical system with an arbitrary potential function, Markovian friction and Gaussian white noise, it shows that the current form of Tsallis distribution cannot describe any nonequilibrium dynamics of the system, and it only stands for a simple isothermal situation of the system governed by a potential field. So the form of Tsallis distribution and many existing applications using the Tsallis distribution need to be reconsidered.

Keywords: Tsallis distribution dynamical property Fokker--Planck equation

Received: 22 July 2009
Revised: 18 August 2009
Accepted manuscript online:

PACS:	05.40.Ca	(Noise)
	02.50.Ng	(Distribution theory and Monte Carlo studies)
	02.50.Ga	(Markov processes)

Fund: Project supported by the National Natural Science Foundation of China (Grant No.~10675088).

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Du Jiu-Lin(杜九林) Some dynamical property of the Tsallis distribution from a Fokker－Planck equation 2010 Chin. Phys. B 19 040501

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Some dynamical property of the Tsallis distribution from a Fokker－Planck equation

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