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One Dimensional Nearest Neighbor Exclusion Processes in Inhomogeneous and Random Environments

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Abstract

The processes described in the title always have reversible stationary distributions. In this paper, we give sufficient conditions for the existence of, and for the nonexistence of, nonreversible stationary distributions. In the case of an i.i.d. environment, these combine to give a necessary and sufficient condition for the existence of nonreversible stationary distributions.

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Authors and Affiliations

  1. Department of Mathematics, University of California, Los Angeles, 405 Hilgard Ave., Los Angeles, CA, 90095, USA

    Lincoln Chayes & Thomas M. Liggett

Authors
  1. Lincoln Chayes
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  2. Thomas M. Liggett
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Correspondence to Thomas M. Liggett.

Additional information

Research supported in part by NSF Grant DMS-0306167 (Chayes) and DMS-0301795 (Liggett).

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Chayes, L., Liggett, T.M. One Dimensional Nearest Neighbor Exclusion Processes in Inhomogeneous and Random Environments. J Stat Phys 129, 193–203 (2007). https://doi.org/10.1007/s10955-007-9397-7

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  • DOI: https://doi.org/10.1007/s10955-007-9397-7

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