Self-Duality for the Two-Component Asymmetric Simple Exclusion Process

2015/04/20 by V. Belitsky, G. M. Schütz · 1 citation
Mathematics · Physics and Astronomy · #math.PR #cond-mat.stat-mech #msc:82C22

paper · pdf · doi:10.1063/1.4929663

published as Journal of Mathematical Physics 56, 083302 (2015) · 27 pages

arxiv created 2015/04/20 · arxiv updated 2015/10/19

Abstract

We study a two-component asymmetric simple exclusion process (ASEP) that is equivalent to the ASEP with second-class particles. We prove self-duality with respect to a family of duality functions which are shown to arise from the reversible measures of the process and the symmetry of the generator under the quantum algebra U_q[\mathfrakgl₃]. We construct all invariant measures in explicit form and discuss some of their properties. We also prove a sum rule for the duality functions.

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