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

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

2002-01-26

arxiv.org/abs/math-ph/0201057v2

Physics

Mathematical Physics

Scientific paper

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.

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