Regularity of the diffusion coefficient for lattice gas reversible under Bernoulli measures.

DOI10.1016/S0304-4149(02)00101-1zbMath1075.60580OpenAlexW2076977228MaRDI QIDQ2574500

Cédric Bernardin

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/s0304-4149(02)00101-1

zbMATH Keywords

hydrodynamic equationregularity diffusion coefficientreversible lattice gas

Mathematics Subject Classification ID

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

Related Items

Smoothness of the diffusion coefficients for particle systems in continuous space ⋮ Regularity of the diffusion coefficient matrix for generalized exclusion process ⋮ Hydrodynamic limit for the Kob-Andersen model ⋮ Large deviation principles for nongradient weakly asymmetric stochastic lattice gases ⋮ First-order expansion of homogenized coefficients under Bernoulli perturbations ⋮ Regularity of the diffusion coefficient matrix for lattice gas reversible under Gibbs measures with mixing condition ⋮ Lattice gas model in random medium and open boundaries: Hydrodynamic and relaxation to the steady state ⋮ Regularity of diffusion coefficient for nearest neighbor asymmetric simple exclusion on \(\mathbb{Z}\) ⋮ Quantitative homogenization of interacting particle systems

Cites Work

• Unnamed Item
• Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions
• Diffusive limit of lattice gas with mixing conditions
• Symmetric simple exclusion process: Regularity of the self-diffusion coefficient