Koornwinder polynomials and the stationary multi-species asymmetric exclusion process with open boundaries

Abstract

We prove that the normalisation of the stationary state of the multi-species asymmetric simple exclusion process (mASEP) is a specialisation of a Koornwinder polynomial. As a corollary we obtain that the normalisation of mASEP factorises as a product over multiple copies of the two-species ASEP.

25 pages

References in corpus (7)

• Nonequilibrium Steady States of Matrix Product Form: A Solver's Guide
• Bethe Ansatz Solution of the Asymmetric Exclusion Process with Open Boundaries
• The asymmetric simple exclusion process: an integrable model for non-equilibrium statistical mechanics
• The Exclusion Process: A paradigm for non-equilibrium behaviour
• Matrix representation of the stationary measure for the multispecies TASEP
• Two-Species Asymmetric Simple Exclusion Process with Open Boundaries
• Slowest relaxation mode of the partially asymmetric exclusion process with open boundaries

Cited by in corpus (5)

• Renyi entropy of the totally asymmetric exclusion process
• Approximating the stationary distribution of the ASEP with open boundaries
• KPZ fluctuations in finite volume
• New formulas for Macdonald polynomials via the multispecies exclusion and zero range processes
• An exactly solvable asymmetric $K$-exclusion process