C. Landim, J. Quastel, M. Salmhofer, H. T. Yau
Published 2002-01-31Version 1
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.
$t^{1/3}$ Superdiffusivity of Finite-Range Asymmetric Exclusion Processes on $\mathbb Z$
Superdiffusivity of occupation-time variance in 2-dimensional asymmetric processes with density 1/2
Finite-dimensional approximation for the diffusion coefficient in the simple exclusion process
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