Some properties of the diffusion coefficient for asymmetric simple exclusion processes

DOI10.1214/aop/1041903206zbMath0872.60078OpenAlexW1970945276MaRDI QIDQ674503

Claudio Landim, Stefano Olla, Horng-Tzer Yau

Publication date: 1 October 1997

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1041903206

zbMATH Keywords

Navier-Stokes equationsGreen-Kubo formulaasymmetric simple exclusion processesbulk diffusioninfinite interacting particle systems

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Navier-Stokes equations (35Q30) Irreversible thermodynamics, including Onsager-Machlup theory (82C35)

Related Items

Hydrodynamic limit of asymmetric exclusion processes under diffusive scaling in \(d\geq 3\), \(t^{1/3}\) superdiffusivity of finite-range asymmetric exclusion processes on \({\mathbb{Z}}\), Macroscopic energy diffusion for a chain of anharmonic oscillators, Diffusivity of lattice gases, Asymptotic behavior of a tagged particle in simple exclusion processes, Navier-Stokes equations for stochastic particle systems on the lattice, Derivation of viscous Burgers equations from weakly asymmetric exclusion processes, Diffusive behavior of asymmetric zero-range processes, On the symmetry of the diffusion coefficient in asymmetric simple exclusion, Superdiffusivity of two dimensional lattice gas models, First order correction for the hydrodynamic limit of symmetric simple exclusion processes with speed change in dimension \(d\geq 3\), Hydrodynamics and fluctuations outside of local equilibrium: driven diffusive systems.

Cites Work

• Hydrodynamic limit for attractive particle systems on \(\mathbb{Z}{}^ d\)
• Diffusion of color in the simple exclusion process
• DIFFUSIVE LIMIT OF ASYMMETRIC SIMPLE EXCLUSION
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