2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56985We 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.Mathematical Physics46N55$(\log t)^{2/3}$ law of the two dimensional asymmetric simple exclusion processtext