Finite-dimensional approximation of the self-diffusion coefficient for the exclusion process

DOI10.1214/aop/1023481000zbMath1018.60097OpenAlexW1983322225MaRDI QIDQ1872268

Stefano Olla, Claudio Landim, Srinivasa R. S. Varadhan

Publication date: 6 May 2003

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

Full work available at URL: https://doi.org/10.1214/aop/1023481000

zbMATH Keywords

simple exclusion processeslarge periodic latticesLiouville-D property

Mathematics Subject Classification ID

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

Related Items

Einstein relation for random walks in random environments ⋮ Finite-dimensional approximation for the diffusion coefficient in the simple exclusion process ⋮ Computation of the self-diffusion coefficient with low-rank tensor methods: application to the simulation of a cross-diffusion system ⋮ Tensor approximation of the self-diffusion matrix of tagged particle processes ⋮ Asymptotic behavior of a tagged particle in simple exclusion processes ⋮ Quantitative homogenization of interacting particle systems ⋮ Macroscopic behaviour in a two-species exclusion process via the method of matched asymptotics

Cites Work

• An invariance principle for reversible Markov processes. Applications to random motions in random environments
• Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions
• Potential theory on infinite networks
• Self diffusion of a tagged particle in equilibrium for asymmetric mean zero random walk with simple exclusion
• An invariance principle for non-symmetric Markov processes and reflecting diffusions in random domains
• Fluctuation-dissipation equation of asymmetric simple exclusion processes
• Equilibrium fluctuations for \(\nabla\varphi\) interface model
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