Regularity of the diffusion coefficient matrix for lattice gas reversible under Gibbs measures with mixing condition

DOI10.1007/s00220-007-0247-xzbMath1146.60077OpenAlexW2050474576MaRDI QIDQ946507

Yukio Nagahata

Publication date: 23 September 2008

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-007-0247-x

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20)

Related Items

Smoothness of the diffusion coefficients for particle systems in continuous space ⋮ First-order expansion of homogenized coefficients under Bernoulli perturbations ⋮ Quantitative homogenization of interacting particle systems

Cites Work

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• Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions
• Diffusive limit of lattice gas with mixing conditions
• Gibbs measures and phase transitions
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• Regularity of the diffusion coefficient matrix for the lattice gas with energy
• Regularity of the diffusion coefficient for lattice gas reversible under Bernoulli measures.
• Symmetric simple exclusion process: Regularity of the self-diffusion coefficient