We show that for the symmetric simple exclusion process on
$/mathbb{Z}^d$ the self-diffusion coefficient of a tagged particle is stable
when approximated by simple exclusion processes on large periodic lattices. The
proof depends on a similar stability property of the asymptotic variance of
additive functionals of mean 0. This requires establishing a property for the
Dirichlet space known as the Liouville-D property.
@article{1023481000,
author = {Landim, C. and Olla, S. and Varadhan, R. S.},
title = {Finite-dimensional approximation of the self-diffusion
coefficient for the exclusion process},
journal = {Ann. Probab.},
volume = {30},
number = {1},
year = {2002},
pages = { 483-508},
language = {en},
url = {http://dml.mathdoc.fr/item/1023481000}
}
Landim, C.; Olla, S.; Varadhan, R. S. Finite-dimensional approximation of the self-diffusion
coefficient for the exclusion process. Ann. Probab., Tome 30 (2002) no. 1, pp. 483-508. http://gdmltest.u-ga.fr/item/1023481000/