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

C. Landim·R. M. Sued·G. Valle
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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.

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C. Landim, R. M. Sued, G. Valle. 2003-05-28. Hydrodynamic limit of asymmetric exclusion processes under diffusive scaling in $d\ge 3$. https://doi.org/10.1007/s00220-004-1076-9

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