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

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2004

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Annals of Mathematics, Princeton U
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Yau, Horng-Tzer. 2004. “(logt)2/3 law of the Two Dimensional Asymmetric Simple Exclusion Process.” Annals of Mathematics 159 (1) (January 1): 377–405. doi:10.4007/annals.2004.159.377.

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.

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