Finite-dimensional approximation for the diffusion coefficient in the simple exclusion process

• 成果类型: Article
• 署名作者: Jara, Milton
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/009117906000000449
• 发表日期: 2006
• 页码: 2365-2381
• 关键词: tagged particle; self-diffusion; limit-theorem

摘要

We show that for the mean zero simple exclusion process in Z(d) and for the asymmetric simple exclusion process in Z(d) for d >= 3, the self-diffusion coefficient of a tagged particle is stable when approximated by simple exclusion processes on large periodic lattices. The proof depends on a similar stability property of the Sobolev inner product associated with the operator.