Power-law Fokker-Planck equation of unimolecular reaction based on the approximation to master equation

被引：4
作者：
Zhou, Yanjun [1 ]
Yin, Cangtao [2 ]
机构：
[1] Univ Estadual Goias, Unidade Univ Ciencias Exatas & Tecnol, Anapolis, Go, Brazil
[2] Acad Sinica, Inst Atom & Mol Sci, Taipei 10617, Taiwan
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2016年 / 463卷
关键词：
Master equation; Chemical kinetics; Power-law distribution; ANOMALOUS DIFFUSION; DYNAMICS; MODEL;
D O I：
10.1016/j.physa.2016.07.060
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The Fokker-Planck equation (FPE) of the unimolecular reaction with Tsallis distribution is established by means of approximation to the master equation. The memory effect, taken into transition probability, is relevant and important for lots of anomalous phenomena. The Taylor expansion for large volume is applied to derive the power-law FPE. The steady-state solution of FPE and microscopic dynamics Ito-Langevin equation of concentration variables are therefore obtained and discussed. Two unimolecular reactions are taken as examples and the concentration distributions with different power-law parameters are analyzed, which may imply strong memory effect of hopping process. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码：445 / 451
页数：7
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