Self-duality for the two-component asymmetric simple exclusion process
Journal Article
·
· Journal of Mathematical Physics
- 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)
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.
- OSTI ID:
- 22479586
- Journal Information:
- Journal of Mathematical Physics, Vol. 56, Issue 8; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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