A Kinetic Equation for the Distribution of Interaction Clusters in Rarefied Gases

被引：0

作者：

Robert I. A. Patterson

Sergio Simonella

Wolfgang Wagner

机构：

[1] Weierstrass Institute,Zentrum Mathematik

[2] TU München,undefined

来源：

Journal of Statistical Physics | 2017年 / 169卷

关键词：

Stochastic particle system; Interaction clusters; Rarefied gases; Kinetic equation; Numerical experiments; 60K35; 82B40;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider a stochastic particle model governed by an arbitrary binary interaction kernel. A kinetic equation for the distribution of interaction clusters is established. Under some additional assumptions a recursive representation of the solution is found. For particular choices of the interaction kernel (including the Boltzmann case) several explicit formulas are obtained. These formulas are confirmed by numerical experiments. The experiments are also used to illustrate various conjectures and open problems.

引用

页码：126 / 167

页数：41

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