Quantum algebra symmetry of the ASEP with second-class particles
Mathematical Physics
2016-06-15 v1 math.MP
Abstract
We consider a two-component asymmetric simple exclusion process (ASEP) on a finite lattice with reflecting boundary conditions. For this process, which is equivalent to the ASEP with second-class particles, we construct the representation matrices of the quantum algebra that commute with the generator. As a byproduct we prove reversibility and obtain in explicit form the reversible measure. A review of the algebraic techniques used in the proofs is given.
Keywords
Cite
@article{arxiv.1504.06958,
title = {Quantum algebra symmetry of the ASEP with second-class particles},
author = {V. Belitsky and G. M. Schütz},
journal= {arXiv preprint arXiv:1504.06958},
year = {2016}
}
Comments
23 pages, presented at conference Particle systems and PDE's - III, 17-19 Dec 2014, Braga, Portugal