Hydrodynamic limit of asymmetric exclusion processes under diffusive scaling in $d\ge 3$
Probability
2009-11-10 v1 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math/0305398,
title = {Hydrodynamic limit of asymmetric exclusion processes under diffusive scaling in $d\ge 3$},
author = {C. Landim and R. M. Sued and G. Valle},
journal= {arXiv preprint arXiv:math/0305398},
year = {2009}
}