Scaling limits of a tagged particle in the exclusion process with variable diffusion coefficient

被引：12

作者：

Goncalves, Patricia ^{[2
]}

Jara, Milton ^{[1
]}

机构：

[1] Univ Catholique Louvain, FYMA, B-1348 Louvain, Belgium

[2] Ctr Matemat, P-4710057 Braga, Portugal

来源：

JOURNAL OF STATISTICAL PHYSICS | 2008年 / 132卷 / 06期

关键词：

tagged particle; random environment; zero-range process; hydrodynamic limit; fractional Brownian motion;

D O I：

10.1007/s10955-008-9595-y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove a law of large numbers and a central limit theorem for a tagged particle in a symmetric simple exclusion process in Z with variable diffusion coefficient. The scaling limits are obtained from a similar result for the current through -1/2 for a zero-range process with bond disorder. For the CLT, we prove convergence to a fractional Brownian motion of Hurst exponent 1/4.

引用

页码：1135 / 1143

页数：9

共 21 条

[1]

AMBJORSSON T, 2008, DYNAMICS 2 HARDCORE

[2]

[Anonymous], 1985, Contemp. Math

[3] THE MOTION OF A TAGGED PARTICLE IN THE SIMPLE SYMMETRIC EXCLUSION SYSTEM ON Z [J].