Mixing times for the simple exclusion process with open boundaries

DOI10.1214/22-aap1839zbMath1525.60113arXiv2003.03781OpenAlexW3009742497MaRDI QIDQ6103994

Nina Gantert, Dominik Schmid, Evita Nestoridi

Publication date: 5 June 2023

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.03781

zbMATH Keywords

exclusion processcouplingmixing timessecond 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) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (5)

Mixing times for the TASEP in the maximal current phase ⋮ Mixing time for the asymmetric simple exclusion process in a random environment ⋮ Large scale stochastic dynamics. Abstracts from the workshop held September 11--17, 2022 ⋮ Cutoff profile of the metropolis biased card shuffling ⋮ Cutoff for the non reversible SSEP with reservoirs

Cites Work

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• Mixing time and cutoff for the adjacent transposition shuffle and the simple exclusion
• The cutoff profile for the simple exclusion process on the circle
• Can extra updates delay mixing?
• Erratum to ``Tableaux combinatorics for the asymmetric exclusion process and Askey-Wilson polynomials
• Mixing of the exclusion process with small bias
• Asymmetric simple exclusion process with open boundaries and Koornwinder polynomials
• Eigenvalue bounds on convergence to stationarity for nonreversible Markov chains, with an application to the exclusion process
• Geometric bounds for eigenvalues of Markov chains
• A combinatorial derivation of the PASEP stationary state
• Order of current variance and diffusivity in the asymmetric simple exclusion process
• Shock fluctuations in asymmetric simple exclusion
• Interaction of Markov processes
• Shock fluctuations in the asymmetric simple exclusion process
• Current fluctuations for the asymmetric simple exclusion process
• Extremal reversible measures for the exclusion process
• Mixing times of lozenge tiling and card shuffling Markov chains
• Combinatorics of the two-species ASEP and Koornwinder moments
• The KPZ limit of ASEP with boundary
• Mixing of the symmetric exclusion processes in terms of the corresponding single-particle random walk
• Transversal fluctuations of the ASEP, stochastic six vertex model, and Hall-Littlewood Gibbsian line ensembles
• The exclusion process mixes (almost) faster than independent particles
• A determinantal formula for Catalan tableaux and TASEP probabilities
• Microscopic structure of travelling waves in the asymmetric simple exclusion process
• Cutoff for the cyclic adjacent transposition shuffle
• Exact connections between current fluctuations and the second class particle in a class of deposition models
• The simple exclusion process on the circle has a diffusive cutoff window
• Cutoff phenomenon for the asymmetric simple exclusion process and the biased card shuffling
• Two-species asymmetric simple exclusion process with open boundaries
• Mixing times for the simple exclusion process in ballistic random environment
• Mixing time and cutoff for the weakly asymmetric simple exclusion process
• Koornwinder polynomials and the stationary multi-species asymmetric exclusion process with open boundaries
• The physicist's companion to current fluctuations: one-dimensional bulk-driven lattice gases
• Slowest relaxation mode of the partially asymmetric exclusion process with open boundaries
• Ergodic Theorems for the Asymmetric Simple Exclusion Process
• Exact solution of a partially asymmetric exclusion model using a deformed oscillator algebra
• Open ASEP in the Weakly Asymmetric Regime
• Fluctuations of TASEP on a Ring in Relaxation Time Scale
• Mixing times of the biased card shuffling and the asymmetric exclusion process
• Exact solution of a 1D asymmetric exclusion model using a matrix formulation
• Current fluctuations for the totally asymmetric simple exclusion process
• Asymmetric simple exclusion process with open boundaries and Askey–Wilson polynomials
• Matrix ansatz for the fluctuations of the current in the ASEP with open boundaries
• One-dimensional partially asymmetric simple exclusion process with open boundaries: orthogonal polynomials approach
• Matrix product solution to multi-species ASEP with open boundaries
• Combinatorial mappings of exclusion processes
• Open two-species exclusion processes with integrable boundaries
• Correlation Function of Asymmetric Simple Exclusion Process with Open Boundaries
• Nonequilibrium steady states of matrix-product form: a solver's guide

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