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Spectral Gap for Multicolor Nearest-Neighbor Exclusion Processes with Site Disorder

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Abstract

We consider a system of multicolor disordered lattice gas in a hypercube of ℤd. Using a recent result of Caputo (article in preparation), we give an estimate of the spectral gap for the nearest-neighbor dynamics which plays an important role in the study of hydrodynamic limit.

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Authors and Affiliations

  1. Laboratoire Paul Painlevé, UMR 8524, UFR de Mathématiques, USTL, Bât. M2, 59655, Villeneuve d’Ascq Cedex, France

    Azzouz Dermoune & Philippe Heinrich

Authors
  1. Azzouz Dermoune
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  2. Philippe Heinrich
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Correspondence to Azzouz Dermoune.

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Dermoune, A., Heinrich, P. Spectral Gap for Multicolor Nearest-Neighbor Exclusion Processes with Site Disorder. J Stat Phys 131, 117–125 (2008). https://doi.org/10.1007/s10955-008-9496-0

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  • DOI: https://doi.org/10.1007/s10955-008-9496-0

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