Spectral Gap for Multi-species Exclusion Processes

Yukio Nagahata, Makiko Sasada

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We consider a multi-species generalization of the symmetric simple exclusion process in homogeneous and non-homogeneous hypercubes of Zd. In this model, the hyperplanes of configurations with given numbers of particles of each species are not necessarily irreducible. We give a sufficient condition of the dynamics to make them irreducible. In addition, assuming the irreducibility of them, we show some estimates of the spectral gap (the absolute value of the second largest eigenvalue of the generator), which plays an important role in the study of hydrodynamic limit.

Original languageEnglish
Pages (from-to)381-398
Number of pages18
JournalJournal of Statistical Physics
Volume143
Issue number2
DOIs
Publication statusPublished - 2011 Apr 1

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Keywords

  • Ergodicity
  • Multi-species exclusion process
  • Site disorder
  • Spectral gap

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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