Kinetic limit for a system of coagulating planar Brownian particles

被引：0
|
作者：
Hammond, Alan [1 ]
Rezakhanlou, Fraydoun
机构：
[1] Univ Calif Berkeley, Dept Stat, Berkeley, CA 94720 USA
[2] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
来源：
JOURNAL OF STATISTICAL PHYSICS | 2006年 / 124卷 / 2-4期
基金：
美国国家科学基金会;
关键词：
coagulation; Interacting Particle Systems; Planar Brownian Motion; Smoluchowski's Equation;
D O I：
10.1007/s10955-005-0105-1
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 planar Brownian particles. The coagulation occurs when two particles are within a distance of order epsilon. We assume that the initial number of particles N is of order |log epsilon|. Under suitable assumptions of the initial distribution of particles and the microscopic coagulation propensities, we show that the macroscopic particle densities satisfy a Smoluchowski-type equation.
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页码：997 / 1040
页数：44
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