Generalized Fokker-Planck equations derived from generalized linear nonequilibrium thermodynamics
Generalized Fokker-Planck equations derived from generalized linear nonequilibrium thermodynamics
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DOI：
10.1016/s0378-4371(02)00821-x
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发表时间：
2002-07-15
影响因子：
3.3
通讯作者：
Frank, TD
中科院分区：
文献类型：
--
作者：
Frank, TD
最近，Compte和Jou将线性非平衡热力学原理应用于Tsallis提出的广义非广延熵，导出了非线性扩散方程。在这项研究中，随机过程在孤立和封闭的系统，其特征在于任意广义熵被认为是和演化方程的过程概率密度。结果表明，基于广义熵的线性非平衡态热力学必然导出广义Fokker-Planck方程。(C)2002 Elsevier Science B. V.保留所有权利。
Recently, Compte and Jou derived nonlinear diffusion equations by applying the principles of linear nonequilibrium thermodynamics to the generalized nonextensive entropy proposed by Tsallis. In line with this study, stochastic processes in isolated and closed systems characterized by arbitrary generalized entropies are considered and evolution equations for the process probability densities are derived. It is shown that linear nonequilibrium thermodynamics based on generalized entropies naturally leads to generalized Fokker-Planck equations. (C) 2002 Elsevier Science B.V. All rights reserved.