Fluctuations in the weakly asymmetric exclusion process with open boundary conditions

DOI10.1007/s10955-004-1989-xzbMath1073.82029arXivcond-mat/0511275OpenAlexW3103062588MaRDI QIDQ2487784

Stefano Olla, Bernard Derrida, Claudio Landim

Publication date: 8 August 2005

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0511275

zbMATH Keywords

non-equilibrium statesasymmetric hopping

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items

Stationary measures of the KPZ equation on an interval from Enaud–Derrida’s matrix product ansatz representation, Entropy of open lattice systems, On the convergence of entropy for stationary exclusion processes with open boundaries, The KPZ limit of ASEP with boundary, Weighted dependency graphs, Current large deviations for asymmetric exclusion processes with open boundaries, On the scaling limits of weakly asymmetric bridges, A diffusive system driven by a battery or by a smoothly varying field, On decay of correlations for an exclusion process with asymmetric boundary conditions, Limit fluctuations for density of asymmetric simple exclusion processes with open boundaries, Long range correlations and phase transitions in non-equilibrium diffusive systems, Non-equilibrium steady states: fluctuations and large deviations of the density and of the current, Equilibrium fluctuations for diffusive symmetric exclusion with long jumps and infinitely extended reservoirs

Cites Work

• Unnamed Item
• The asymmetric exclusion process and Brownian excursions
• Convergence towards Burger's equation and propagation of chaos for weakly asymmetric exclusion processes
• Nonequilibrium measures which exhibit a temperature gradient: Study of a model
• Large deviation of the density profile in the steady state of the open symmetric simple exclusion process.
• Large deviation functional of the weakly asymmetric exclusion process
• Fluctuations in the lattice gas for Burgers' equation