From dynamic to static large deviations in boundary driven exclusion particle systems.

DOI10.1016/j.spa.2003.10.005zbMath1075.60122OpenAlexW2082217055MaRDI QIDQ2574634

Giambattista Giacomin, Thierry Bodineau

Publication date: 29 November 2005

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spa.2003.10.005

zbMATH Keywords

hydrodynamic limitexclusion processopen systemsFreidlin-Wentzell approach

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (17)

Action functional and quasi-potential for the burgers equation in a bounded interval ⋮ Hydrostatics and dynamical large deviations for a reaction-diffusion model ⋮ Dynamical large deviations for the boundary driven symmetric exclusion process with Robin boundary conditions ⋮ Totally asymmetric limit for models of heat conduction ⋮ Static large deviations for a reaction-diffusion model ⋮ Entropy of stationary nonequilibrium measures of boundary driven symmetric simple exclusion processes ⋮ Large Deviations for Stationary Measures of Stochastic Nonlinear Wave Equations\\with Smooth White Noise ⋮ Large-time behaviour and the second eigenvalue problem for finite-state mean-field interacting particle systems ⋮ Harmonic systems with bulk noises ⋮ Large deviation principles for nongradient weakly asymmetric stochastic lattice gases ⋮ Hitting times of rare events in Markov chains ⋮ Exponentially slow mixing and hitting times of rare events for a reaction--diffusion model ⋮ The semi-infinite asymmetric exclusion process: large deviations via matrix products ⋮ Large deviations for a stochastic model of heat flow ⋮ Strong asymmetric limit of the quasi-potential of the boundary driven weakly asymmetric exclusion process ⋮ Stochastic interacting particle systems out of equilibrium ⋮ Diffusion of Energy in Chains of Oscillators with Conservative Noise

Cites Work

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• Large deviation of the density profile in the steady state of the open symmetric simple exclusion process.
• Macroscopic fluctuation theory for stationary nonequilibrium states
• A function space large deviation principle for certain stochastic integrals
• Exact large deviation functional of a stationary open driven diffusive system: The asymmetric exclusion process
• Hydrodynamic Limit for a Nongradient Interacting Particle System with Stochastic Reservoirs

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