On the convergence of entropy for stationary exclusion processes with open boundaries

DOI10.1007/s10955-006-9229-1zbMath1125.82022OpenAlexW2046095584MaRDI QIDQ885045

Christophe Bahadoran

Publication date: 7 June 2007

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

Full work available at URL: https://doi.org/10.1007/s10955-006-9229-1

zbMATH Keywords

entropyexclusion processlattice gaslocal equilibriumhydrostatic limitnon-equilibrium stationary state

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (5)

Entropy of open lattice systems ⋮ Entropy of stationary nonequilibrium measures of boundary driven symmetric simple exclusion processes ⋮ Thermodynamic transformations of nonequilibrium states ⋮ Unnamed Item ⋮ Entropy of non-equilibrium stationary measures of boundary driven TASEP

Cites Work

• Unnamed Item
• Hydrodynamics and hydrostatics for a class of asymmetric particle systems with open boundaries
• Lattice gas models in contact with stochastic reservoirs: Local equilibrium and relaxation to the steady state
• Entropy of open lattice systems
• Hydrodynamics of stationary non-equilibrium states for some stochastic lattice gas models
• The asymmetric exclusion process and Brownian excursions
• Hydrodynamic limit for attractive particle systems on \(\mathbb{Z}{}^ d\)
• Ergodic theorems for the asymmetric simple exclusion process II
• Macroscopic properties of a stationary non-equilibrium distribution for a non-gradient interacting particle system
• Large deviation of the density profile in the steady state of the open symmetric simple exclusion process.
• Macroscopic fluctuation theory for stationary nonequilibrium states
• Large deviation functional of the weakly asymmetric exclusion process
• Exact large deviation functional of a stationary open driven diffusive system: The asymmetric exclusion process
• The behavior of the specific entropy in the hydrodynamic scaling limit
• Fluctuations in the weakly asymmetric exclusion process with open boundary conditions
• First order quasilinear equations with boundary conditions
• Exact solution of a 1D asymmetric exclusion model using a matrix formulation

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