Equilibrium Fluctuations for a Model of Coagulating-Fragmenting Planar Brownian Particles

被引：3
|
作者：
Ranjbar, Mojtaba [1 ]
Rezakhanlou, Fraydoun [2 ]
机构：
[1] Amirkabir Univ, Fac Math & Comp Sci, Tehran, Iran
[2] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2010年 / 296卷 / 03期
关键词：
SYSTEM; LIMIT;
D O I：
10.1007/s00220-010-1016-9
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study a model of mass-bearing coagulating-fragmenting planar Brownian particles. Coagulation occurs when two particles are within a distance of order epsilon. Our model is macroscopically described by an inhomogeneous Smoluchowski's equation in the low epsilon limit provided that the initial number of particles N is of order |log epsilon|. When a detailed balance condition is satisfied, we establish a central limit theorem by showing that in the low epsilon limit, the particle density fluctuation fields obey an Ornstein-Uhlenbeck stochastic differential equation.
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页码：769 / 826
页数：58
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