The matrix product solution of the multispecies partially asymmetric exclusion process

S. Prolhac, Martin Evans, K. Mallick

Research output: Contribution to journalArticlepeer-review

Abstract

We find the exact solution for the stationary state measure of the partially asymmetric exclusion process on a ring with multiple species of particles. The solution is in the form of a matrix product representation where the matrices for a system of N species are defined recursively in terms of the matrices for a system of N - 1 species. A complete proof is given, based on the quadratic relations verified by these matrices. This matrix product construction is interpreted in terms of the action of a transfer matrix.

Original languageEnglish
Article number165004
Pages (from-to)-
Number of pages25
JournalJournal of physics a-Mathematical and theoretical
Volume42
Issue number16
DOIs
Publication statusPublished - 24 Apr 2009

Keywords

  • EXACT DIFFUSION CONSTANT
  • QUADRATIC ALGEBRA
  • OPEN BOUNDARIES
  • MODEL
  • SYSTEMS
  • REPRESENTATIONS
  • PARTICLES
  • SHOCKS
  • WAVES

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