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.

引用

页码：997 / 1040

页数：44

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