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Finite-dimensional approximation for the diffusion coefficient in the simple exclusion process

Research paper by Milton Jara

Indexed on: 01 Mar '07Published on: 01 Mar '07Published in: Mathematics - Probability



Abstract

We show that for the mean zero simple exclusion process in $\mathbb {Z}^d$ and for the asymmetric simple exclusion process in $\mathbb{Z}^d$ for $d\geq3$, 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 Sobolev inner product associated with the operator.