Order of current variance and diffusivity in the asymmetric simple exclusion process

被引：39

作者：

Balazs, Marton ^{[1
]}

Seppalainen, Timo ^{[2
]}

机构：

[1] Budapest Univ Technol & Econ, Inst Math, MTA BME Stochast Res Grp, H-1111 Budapest, Hungary

[2] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

来源：

ANNALS OF MATHEMATICS | 2010年 / 171卷 / 02期

基金：

匈牙利科学研究基金会; 美国国家科学基金会;

关键词：

CURRENT FLUCTUATIONS; DEPOSITION MODELS; GROWTH-MODEL; PARTICLE; SYSTEMS; SUPERDIFFUSIVITY; ASYMPTOTICS; LIMIT;

D O I：

10.4007/annals.2010.171.1237

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the variance of the current across a characteristic is of order t(2/3) in a stationary asymmetric simple exclusion process, and that the diffusivity has order t(1/3). The proof proceeds via couplings to show the corresponding moment bounds for a second class particle.

引用

页码：1237 / 1265

页数：29

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