Transition Probabilities of the Bethe Ansatz Solvable Interacting Particle Systems

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7 Citations (Scopus)

Abstract

This paper presents the exact expressions of the transition probabilities of some non-determinantal Bethe ansatz solvable interacting particle systems: the two-sided PushASEP, the asymmetric avalanche process and the asymmetric zero range process. The time-integrated currents of the asymmetric avalanche process and the asymmetric zero range process are immediate from the results of the asymmetric simple exclusion process.

Original languageEnglish
Pages (from-to)643-656
Number of pages14
JournalJournal of Statistical Physics
Volume142
Issue number4
DOIs
Publication statusPublished - Feb 2011

Keywords

  • Asymmetric avalanche process
  • Asymmetric simple exclusion process
  • Bethe ansatz
  • Zero range process

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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