Hydrodynamic limit for particle systems with nonconstant speed parameter

被引：0

作者：

Paul Covert

Fraydoun Rezakhanlou

机构：

[1] University of California,Department of Mathematics

来源：

Journal of Statistical Physics | 1997年 / 88卷

关键词：

Hydrodynamic limit; exclusion process; scalar conservation law;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We establish the hydrodynamic limit for a class of particle systems on ℤd with nonconstant speed parameter, assuming that the speed parameter is continuously differentiable in the spatial variable. If the particle system is on the one-dimensional latticeℤ and totally asymmetric, we derive the hydrodynamic equation for continuous speed parameters. We obtain nontrivial upper and lower bounds when either the speed parameter is discontinuous or there is a blockage at a fixed site.

引用

页码：383 / 426

页数：43

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