The hydrodynamic limit of the symmetric simple exclusion process
with speed change is given by a diffusive equation in the appropriate scale.
Following the nongradient method introduced by Varadhan and the Navier-Stokes
methods developed by Yau, we prove that in the same scale, the next order
correction is given by a third order equation for dimension $d \geq 3$.
@article{1022855886,
author = {Janvresse, Elise},
title = {First order correction for the hydrodynamic limit of symmetric
simple exclusion processes with speed change in dimension $d\geq 3$},
journal = {Ann. Probab.},
volume = {26},
number = {1},
year = {1998},
pages = { 1874-1912},
language = {en},
url = {http://dml.mathdoc.fr/item/1022855886}
}
Janvresse, Elise. First order correction for the hydrodynamic limit of symmetric
simple exclusion processes with speed change in dimension $d\geq 3$. Ann. Probab., Tome 26 (1998) no. 1, pp. 1874-1912. http://gdmltest.u-ga.fr/item/1022855886/