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

Milton Jara
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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.

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Milton Jara. 2007-03-01. Finite-dimensional approximation for the diffusion coefficient in the simple exclusion process. https://doi.org/10.1214/009117906000000449

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