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Superdiffusivity of asymmetric exclusion process in dimensions one and two

C. Landim·J. Quastel·M. Salmhofer·H. T. Yau
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Abstract

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.

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C. Landim, J. Quastel, M. Salmhofer, H. T. Yau. 2002-01-31. Superdiffusivity of asymmetric exclusion process in dimensions one and two. https://arxiv.org/abs/math/0201317

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