REACTION DIFFUSION EQUATION WITH NON-LOCAL TERM ARISES AS A MEAN FIELD LIMIT OF THE MASTER EQUATION

被引：8
|
作者：
Ichikawa, Kazuhisa [1 ,2 ,3 ]
Rouzimaimaiti, Mahemauti [2 ,3 ]
Suzuki, Takashi [2 ,3 ]
机构：
[1] Univ Tokyo, Inst Med Sci, Minato Ku, Tokyo 1088639, Japan
[2] Osaka Univ, Dept Syst Innovat, Div Math Sci, Toyohashi, Aichi 5608531, Japan
[3] CREST, Japan Sci & Technol Agcy, Tokyo 1020075, Japan
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2012年 / 5卷 / 01期
关键词：
Stochastic reaction; Reaction radius; Reaction probability;
D O I：
10.3934/dcdss.2012.5.115
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We formulate a reaction diffusion equation with non-local term as a mean field equation of the master equation where the particle density is defined continuously in space and time. In the case of the constant mean waiting time, this limit equation is associated with the diffusion coefficient of A. Einstein, the reaction rate in phenomenology, and the Debye term under the presence of potential.
引用
收藏
页码：115 / 126
页数：12
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