Stationary states of the one-dimensional facilitated asymmetric exclusion process

DOI10.1214/22-AIHP1264arXiv2010.07257OpenAlexW4365455910MaRDI QIDQ6100147

Arvind Ayyer, Joel L. Lebowitz, Eugene R. Speer, Sheldon Goldstein

Publication date: 21 June 2023

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.07257

zbMATH Keywords

facilitated jumpsone dimensional conserved lattice gasasymmetric facilitated exclusion processesasymmetry independenceF-ASEPF-TASEPtranslation invariant steady states

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Exactly solvable dynamic models in time-dependent statistical mechanics (82C23)

Related Items (1)

Mapping hydrodynamics for the facilitated exclusion and zero-range processes

Cites Work

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• Basic ergodic theory
• Absorbing-state transition for stochastic sandpiles and activated random walks
• Canonical Gibbs measures. Some extensions of de Finetti's representation theorem for interacting particle systems
• Facilitated exclusion process
• Hydrodynamic limit for a facilitated exclusion process
• Stefan problem for a nonergodic facilitated exclusion process
• The Discrete-Time Facilitated Totally Asymmetric Simple Exclusion Process
• Catalan Numbers
• Exact solution of the facilitated totally asymmetric simple exclusion process
• Stationary states of the one-dimensional discrete-time facilitated symmetric exclusion process

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