The semi-infinite asymmetric exclusion process: large deviations via matrix products

DOI10.1007/s11118-017-9635-9zbMath1459.60068arXiv1411.3270OpenAlexW2964309976WikidataQ59614167 ScholiaQ59614167MaRDI QIDQ1745339

Johannes Zimmer, Horacio González Duhart, Peter Mörters

Publication date: 17 April 2018

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.3270

zbMATH Keywords

Toeplitz operatormatrix product ansatzphase transitionlarge deviation principleexclusion processopen boundaryout of equilibrium

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)

Related Items (2)

Stochastic six-vertex model in a half-quadrant and half-line open asymmetric simple exclusion process ⋮ Asymmetric simple exclusion process with open boundaries and quadratic harnesses

Cites Work

• Large deviation approach to non-equilibrium processes in stochastic lattice gases
• Dynamical large deviations for the boundary driven weakly asymmetric exclusion process
• Large deviations techniques and applications.
• Large deviations for the boundary driven symmetric simple exclusion process
• Exact large deviation functional of a stationary open driven diffusive system: The asymmetric exclusion process
• Combinatorics of the asymmetric exclusion process on a semi-infinite lattice
• Matrix representation of the stationary measure for the Multispecies TASEP
• From dynamic to static large deviations in boundary driven exclusion particle systems.
• Large deviations for correlated random variables described by a matrix product ansatz
• Ergodic Theorems for the Asymmetric Simple Exclusion Process
• Matrix product ground states for exclusion processes with parallel dynamics
• Exact solution of a 1D asymmetric exclusion model using a matrix formulation
• One-dimensional partially asymmetric simple exclusion process with open boundaries: orthogonal polynomials approach
• The asymmetric simple exclusion process with an open boundary
• Nonequilibrium steady states of matrix-product form: a solver's guide
• Large deviations
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