Some dynamical property of the Tsallis distribution from a Fokker Planck equation
Some dynamical property of the Tsallis distribution from a Fokker Planck equation
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DOI：
10.1088/1674-1056/19/4/040501
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发表时间：
2010-04
影响因子：
1.7
通讯作者：
Du Jiulin
中科院分区：
文献类型：
--
作者：
Du Jiulin
本文研究了 Fokker-Planck 方程中 Tsallis 分布的可能动力学特性。对于具有任意势函数、马尔可夫摩擦和高斯白噪声的朗之万动力系统，表明当前形式的Tsallis分布不能描述系统的任何非平衡动力学，它仅代表系统受势场控制的简单等温情况。所以 Tsallis 发行版的形式以及许多使用 Tsallis 发行版的现有应用程序需要重新考虑。
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.