Finite-dimensional approximation of the self-diffusion coefficient for the exclusion process

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

Research output: Contribution to journalReview articlepeer-review

Abstract

We show that for the symmetric simple exclusion process on ℤd 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.

Original languageEnglish (US)
Pages (from-to)483-508
Number of pages26
JournalAnnals of Probability
Volume30
Issue number2
DOIs
StatePublished - Apr 2002

Keywords

  • Exclusion process
  • Liouville property
  • Self-diffusion
  • Tagged particle

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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