Generalized matrix Ansatz in the multispecies exclusion process—the partially asymmetric case

DOI10.1088/1751-8113/45/19/195001zbMath1243.82042arXiv1201.0388OpenAlexW3099645727MaRDI QIDQ2890758

Kirone Mallick, Chikashi Arita, Sylvain Prolhac, Arvind Ayyer

Publication date: 12 June 2012

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.0388

zbMATH Keywords

asymmetric simple exclusion processgeneralized matrix ansatz

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31)

Related Items (13)

Nonsymmetric Macdonald polynomials via integrable vertex models ⋮ Exact solution to integrable open multi-species SSEP and macroscopic fluctuation theory ⋮ Combinatorial mappings of exclusion processes ⋮ Combinatorics of the two-species ASEP and Koornwinder moments ⋮ Integrable approach to simple exclusion processes with boundaries. Review and progress ⋮ Matrix product construction for Koornwinder polynomials and fluctuations of the current in the open ASEP ⋮ A mass transport model with a simple non-factorized steady-state distribution ⋮ A new generalisation of Macdonald polynomials ⋮ Matrix product and sum rule for Macdonald polynomials ⋮ Matrix product solution to multi-species ASEP with open boundaries ⋮ From multiline queues to Macdonald polynomials via the exclusion process ⋮ From multiline queues to Macdonald polynomials via the exclusion process ⋮ Cylindric rhombic tableaux and the two-species ASEP on a ring

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