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

作　　者：杜九林 

机构地区：[1]Department of Physics,School of Science,Tianjin University

出　　处：《Chinese Physics B》2010年第4期81-84,共4页中国物理B（英文版）

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

摘　　要：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.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.

关 键 词：Tsallis distribution dynamical property Fokker--Planck equation 

分 类 号：O411.1[理学—理论物理]