2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63247We prove that the diffusion coefficient for the asymmetric exclusion process diverges at least as fast as $t^{1/4}$ in dimension $d=1$ and $(\log t)^{1/2}$ in $d=2$. The method applies to nearest and non-nearest neighbor asymmetric exclusion processes.ProbabilityMathematical Physics60K35; 82C20text