Sep 22, 2013byC. Landim; J. Quastel; M. Salmhofer; H. T. Yau
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We 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. Source: http://arxiv.org/abs/math/0201317v1