Finite-dimensional approximation of the self-diffusion coefficient for the exclusion process. (English) Zbl 1018.60097

Landim, C.; Olla, S.; Varadhan, S. R. S.

Ann. Probab. 30, No. 2, 483-508 (2002).

Authors’ abstract: 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.

Reviewer: Klaus Fleischmann (Berlin)

MSC:

60K35

Interacting random processes; statistical mechanics type models; percolation theory

Keywords:

simple exclusion processes; large periodic lattices; Liouville-D property

References:

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