Quantum algebra symmetry of the ASEP with second-class particles

DOI10.1007/s10955-015-1363-1zbMath1329.82075arXiv1504.06958OpenAlexW3103580092MaRDI QIDQ904367

Gunter M. Schütz, Vladimir Belitsky

Publication date: 13 January 2016

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

Full work available at URL: https://arxiv.org/abs/1504.06958

zbMATH Keywords

quantum algebrasasymmetric simple exclusion processsecond class particles

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Exactly solvable dynamic models in time-dependent statistical mechanics (82C23)

Related Items (14)

Integrable structure of multispecies zero range process ⋮ Algebraic symmetry and self-duality of an open ASEP ⋮ Limiting current distribution for a two species asymmetric exclusion process ⋮ Self-duality for the two-component asymmetric simple exclusion process ⋮ Orthogonal polynomial duality of a two-species asymmetric exclusion process ⋮ Orthogonal polynomial duality and unitary symmetries of multi-species ASEP \((q,\boldsymbol{\theta})\) and higher-spin vertex models via \(^*\)-bialgebra structure of higher rank quantum groups ⋮ The steady state of the boundary-driven multiparticle asymmetric diffusion model ⋮ Uphill in reaction-diffusion multi-species interacting particles systems ⋮ Unnamed Item ⋮ Self-duality and shock dynamics in the \(n\)-species priority ASEP ⋮ An algebraic construction of duality functions for the stochastic \(\mathcal U_q(A_n^{(1)})\) vertex model and its degenerations ⋮ Markov duality for stochastic six vertex model ⋮ Self-duality of Markov processes and intertwining functions ⋮ Duality Relations for the Periodic ASEP Conditioned on a Low Current

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