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Title: Self-duality for the two-component asymmetric simple exclusion process

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{sub q}[gl{sub 3}]. We construct all invariant measures in explicit form and discuss some of their properties. We also prove a sum rule for the duality functions.

Authors:
 [1];  [2]
  1. Instituto de Matemática e Estátistica, Universidade de São Paulo, Rua do Matão, 1010, CEP 05508-090 São Paulo-SP (Brazil)
  2. Institute of Complex Systems II, Forschungszentrum Jülich, 52425 Jülich (Germany)
Publication Date:
OSTI Identifier:
22479586
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Physics
Additional Journal Information:
Journal Volume: 56; Journal Issue: 8; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0022-2488
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGEBRA; ASYMMETRY; DUALITY; FUNCTIONS; SUM RULES; SYMMETRY; U GROUPS

Citation Formats

Belitsky, V., and Schütz, G. M. Self-duality for the two-component asymmetric simple exclusion process. United States: N. p., 2015. Web. doi:10.1063/1.4929663.
Belitsky, V., & Schütz, G. M. Self-duality for the two-component asymmetric simple exclusion process. United States. https://doi.org/10.1063/1.4929663
Belitsky, V., and Schütz, G. M. 2015. "Self-duality for the two-component asymmetric simple exclusion process". United States. https://doi.org/10.1063/1.4929663.
@article{osti_22479586,
title = {Self-duality for the two-component asymmetric simple exclusion process},
author = {Belitsky, V. and Schütz, G. M.},
abstractNote = {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{sub q}[gl{sub 3}]. We construct all invariant measures in explicit form and discuss some of their properties. We also prove a sum rule for the duality functions.},
doi = {10.1063/1.4929663},
url = {https://www.osti.gov/biblio/22479586}, journal = {Journal of Mathematical Physics},
issn = {0022-2488},
number = 8,
volume = 56,
place = {United States},
year = {Sat Aug 15 00:00:00 EDT 2015},
month = {Sat Aug 15 00:00:00 EDT 2015}
}