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

• Milton Jara ^[1]
  1. [1] Instituto Nacional de Matemática Pura e Aplicada

     Instituto Nacional de Matemática Pura e Aplicada

     Brasil

     
• Localización: Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 34, Nº. 6, 2006, págs. 2365-2381
• Idioma: inglés
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• Resumen

  • We show that for the mean zero simple exclusion process in ℤd and for the asymmetric simple exclusion process in ℤd for d≥3, 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.