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

• 成果类型: Article
• 署名作者: Balazs, Marton; Seppalainen, Timo
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2010.171.1237
• 发表日期: 2010
• 页码: 1237-1265
• 关键词: current fluctuations; deposition models; growth-model; particle; systems; superdiffusivity; asymptotics; limit

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.