Hydrodynamic limit of asymmetric exclusion processes under diffusive scaling in $d\ge 3$

Details Hydrodynamic limit of asymmetric exclusion processes under diffusive scaling in $d\ge 3$ Hydrodynamic limit of asymmetric exclusion processes under diffusive scaling in $d\ge 3$

2003-05-28

arxiv.org/abs/math/0305398v1

Mathematics

Probability

Scientific paper

10.1007/s00220-004-1076-9

We consider the asymmetric exclusion process. We start from a profile which
is constant along the drift direction and prove that the density profile, under
a diffusive rescaling of time, converges to the solution of a parabolic
equation.

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