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Article Dans Une Revue Annals of Probability Année : 2006

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

Résumé

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.

Dates et versions

hal-00360144 , version 1 (10-02-2009)

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Milton Jara. Finite-dimensional approximation for the diffusion coefficient in the simple exclusion process. Annals of Probability, 2006, 34 (6), pp.2365-2381. ⟨10.1214/009117906000000449⟩. ⟨hal-00360144⟩
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