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:
-
- Instituto de Matemática e Estátistica, Universidade de São Paulo, Rua do Matão, 1010, CEP 05508-090 São Paulo-SP (Brazil)
- 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}
}
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