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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Self-duality and shock dynamics in the n-species priority ASEP

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Author(s):
Belitsky, V. [1] ; Schuetz, G. M. [2, 3]
Total Authors: 2
Affiliation:
[1] Univ Sao Paulo, Inst Matemat & Estat, Rua Matao 1010, BR-05508090 Sao Paulo, SP - Brazil
[2] Forschungszentrum Julich, Inst Complex Syst 2, D-52425 Julich - Germany
[3] Univ Bonn, Interdisziplinares Zentrum Komplexe Syst, Bruhler Str 7, D-53119 Bonn - Germany
Total Affiliations: 3
Document type: Journal article
Source: Stochastic Processes and their Applications; v. 128, n. 4, p. 1165-1207, APR 2018.
Web of Science Citations: 2
Abstract

We construct all invariant measures of the n-species priority asymmetric simple exclusion process with reflecting boundaries and prove reversibility. Using the symmetry of the generator of the process under the quantum algebra U-q{[}gl(n + 1)] we derive self-duality functions. From these we obtain in explicit form the time evolution on Z of a family of measures with K shocks in terms of the transition probability of a shock exclusion process with K coloured particles with particle-dependent hopping rates and nearest neighbour colour exchange. This process is a gas of particles that form a bound state, corresponding to shock coalescence on macroscopic scale. (C) 2017 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 15/15258-9 - Duality and shock measures in stochastic interacting particle systems
Grantee:Vladimir Belitsky
Support type: Research Grants - Visiting Researcher Grant - International