Journal Article

FZJ-2015-07274

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Self-duality for the two-component asymmetric simple exclusion process

Belitsky, V. ; Schütz, G. M.FZJ*

2015
American Inst. of Physics College Park, Md.

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Please use a persistent id in citations: http://hdl.handle.net/2128/18161  doi:10.1063/1.4929663

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 Uq [𝔤𝔩3]. 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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Contributing Institute(s):

1. Theorie der Weichen Materie und Biophysik (IAS-2)
2. Theorie der Weichen Materie und Biophysik (ICS-2)

Research Program(s):

1. 551 - Functional Macromolecules and Complexes (POF3-551) (POF3-551)

Appears in the scientific report 2015

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Database coverage:
; ; Current Contents - Physical, Chemical and Earth Sciences ; IF < 5 ; JCR ; Nationallizenz ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection

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