(log t)2/3 law of the two dimensional asymmetric simple exclusion process

• 成果类型: Article
• 署名作者: Yau, HT
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2004.159.377
• 发表日期: 2004
• 页码: 377-405
• 关键词: diffusive limit; RANDOM MATRICES; distributions; fluctuations

摘要

We prove that the diffusion coefficient for the two dimensional asymmetric simple exclusion process with nearest-neighbor-jumps diverges as (log t)(2/3) to the leading order. The method applies to nearest and non-nearest neighbor asymmetric simple exclusion processes.