\((\log t)^{2/3}\) law of the two-dimensional asymmetric simple exclusion process

DOI10.4007/ANNALS.2004.159.377zbMATH Open1060.60099arXivmath-ph/0201057OpenAlexW2114553774MaRDI QIDQ1890203

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Publication date: 29 December 2004

Published in: (Search for Journal in Brave)

Abstract: We prove that the diffusion coefficient for the two dimensional asymmetric simple exclusion process diverges as $(logt{)}^{2/3}$ to the leading order. The method applies to nearest and non-nearest neighbor asymmetric simple exclusion processes.

Full work available at URL: https://arxiv.org/abs/math-ph/0201057

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