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

Abstract

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

Authors

Horng-Tzer Yau

Department of Mathematics
Stanford University
Stanford, CA 94305
United States