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

2002/01/26 by Horng-Tzer Yau, Horng‐Tzer Yau, Yau, Horng-Tzer · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #46N55 #Bayesian Methods and Mixture Models #FOS: Physical sciences #Mathematical Physics (math-ph) #Random Matrices and Applications #Stochastic processes and statistical mechanics #math-ph #math.MP #msc:46N55

paper · pdf · doi:10.48550/arxiv.math-ph/0201057

openalex publication_date 2002/01/26 · arxiv created 2002/01/31 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Cited by

• Superdiffusive central limit theorem for a class of driven diffusive systems at the critical dimension
• Logarithmic Superdiffusion in Two Dimensional Driven Lattice Gases

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