Hydrodynamic limit of mean zero asymmetric zero range processes in infinite volume

被引:9
作者
Landim, C [1 ]
Mourragui, M [1 ]
机构
[1] UNIV ROUEN,CNRS URA 1378,F-76821 MONT ST AIGNAN,FRANCE
来源
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES | 1997年 / 33卷 / 01期
关键词
particle systems; hydrodynamic limit;
D O I
10.1016/S0246-0203(97)80116-1
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
We prove the hydrodynamic behaviour of mean zero, asymmetric zero range processes evolving on the infinite lattice Z(d). The proof relies on a bound, uniform in the volume, for the entropy production of processes in large finite volume. Such an entropy production bound, uniform in the volume, was first proved by Fritz in [6] to extend to infinite volume the proof of Guo Papanicolaou and Varadhan of hydrodynamic behaviour of interacting particle systems, Our approach follows a method introduced by Yau in [12].
引用
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页码:65 / 82
页数:18
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