Superdiffusivity of asymmetric exclusion process in dimensions one and two

Details Superdiffusivity of asymmetric exclusion process in dimensions one and two Superdiffusivity of asymmetric exclusion process in dimensions one and two

2002-01-31

arxiv.org/abs/math/0201317v1

Mathematics

Probability

Scientific paper

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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