TRAVELING WAVES AND LONG-TIME BEHAVIOR OF THE WEAKLY ASYMMETRIC EXCLUSION PROCESS

被引：6

作者：

DITTRICH, P

机构：

[1] Karl-Weierstrass Institute of Mathematics, Academy of Sciences, Berlin, DDR-1086, Mohrenstrasse 39, Germany (Democratic Republic

来源：

PROBABILITY THEORY AND RELATED FIELDS | 1990年 / 86卷 / 04期

关键词：

D O I：

10.1007/BF01198168

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 consider the one-dimensional weakly asymmetric nearest neighbour exclusion process and study its macroscopic behaviour on a longer time scale than that for which the deterministic approximation by the Burgers equation holds. We show that this long-time behaviour is completely determined by the initial particle configuration, and does not depend on the randomness of the evolution. Moreover, we examine in detail a special case for which a travelling wave is observed with stable profile but randomly fluctuating space location. © 1990 Springer-Verlag.

引用

页码：443 / 455

页数：13

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