On the asymmetric simple exclusion process with multiple species

DOI10.1007/s10955-012-0531-9zbMath1269.82046arXiv1105.4906OpenAlexW2168335696WikidataQ56950498 ScholiaQ56950498MaRDI QIDQ1943966

Craig A. Tracy, Harold Widom

Publication date: 3 April 2013

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.4906

zbMATH Keywords

Bethe ansatzYang-Baxter equationsasymmetric simple exclusion processmultiple species

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) PDEs in connection with quantum mechanics (35Q40) Exactly solvable models; Bethe ansatz (82B23) Yang-Baxter equations (16T25)

Related Items

Integrable structure of multispecies zero range process, Hall-Littlewood RSK field, Inhomogeneous generalization of a multispecies totally asymmetric zero range process, Stochastic \(R\) matrix for \(\operatorname{U}_q(A_n^{(1)})\), Limiting current distribution for a two species asymmetric exclusion process, Self-duality for the two-component asymmetric simple exclusion process, Stationary distributions of the multi-type ASEP, Transition probability and total crossing events in the multi-species asymmetric exclusion process, Some conditional probabilities in the TASEP with second class particles, Domain walls in the Heisenberg-Ising spin-\(\frac{1}{2}\) chain, Distribution of a second-class particle's position in the two-species ASEP with a special initial configuration, On the TASEP with second class particles, Exact formulas of the transition probabilities of the multi-species asymmetric simple exclusion process, Probability distributions of multi-species \(q\)-TAZRP and ASEP as double cosets of parabolic subgroups, Self-duality and shock dynamics in the \(n\)-species priority ASEP, On the Eigenfunctions for the Multi-species <i>q</i>-Boson System, Simplified forms of the transition probabilities of the two-species ASEP with some initial orders of particles, Twisted traces and positive forms on generalized \(q\)-Weyl algebras

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