Shocks in the asymmetric exclusion process

DOI10.1007/BF00322020zbMath0632.60107OpenAlexW2069235713MaRDI QIDQ1095514

Maury Bramson, Thomas M. Liggett, Enrique Daniel Andjel

Publication date: 1988

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00322020

zbMATH Keywords

couplingextremal invariant measuresymmetry considerationsasymmetric nearest neighbor exclusion process

Mathematics Subject Classification ID

Strong limit theorems (60F15) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (21)

Shock fluctuations in the asymmetric simple exclusion process ⋮ On the two species asymmetric exclusion process with semi-permeable boundaries ⋮ Combinatorics of a disordered two-species ASEP on a torus ⋮ The 1996 Wald memorial lectures. Stochastic models of interacting systems ⋮ Front propagation in certain one-dimensional exclusion models. ⋮ Some exact results for the exclusion process ⋮ Shock fluctuations in asymmetric simple exclusion ⋮ Stochastic models for large interacting systems and related correlation inequalities ⋮ TASEP hydrodynamics using microscopic characteristics ⋮ Interface fluctuations in the two-dimensional weakly asymmetric simple exclusion process ⋮ A combinatorial approach to jumping particles ⋮ Exact solution of the totally asymmetric simple exclusion process: shock profiles ⋮ Asymmetric exclusion model with two species: spontaneous symmetry breaking ⋮ Unnamed Item ⋮ Macroscopic stochastic fluctuations in a one-dimensional mechanical system. ⋮ Unnamed Item ⋮ Shock profiles for the asymmetric simple exclusion process in one dimension ⋮ Non-equilibrium steady states: fluctuations and large deviations of the density and of the current ⋮ Macroscopic stochastic fluctuations in a one-dimensional mechanical system. ⋮ The critical value of the contact process with added and removed edges ⋮ Exact diffusion constant of a one-dimensional asymmetric exclusion model with open boundaries.

Cites Work

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• A dynamical phase transition in an infinite particle system
• Convergence to a non-extremal equilibrium measure in the exclusion process
• Hydrodynamical limit for the asymmetric simple exclusion process
• Ergodic theorems for the asymmetric simple exclusion process II
• Hydrodynamic equations for attractive particle systems on Z
• Processus des misanthropes
• Non-equilibrium behaviour of a many particle process: Density profile and local equilibria
• Ergodic Theorems for the Asymmetric Simple Exclusion Process

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