Asymptotic behavior of a tagged particle in simple exclusion processes

DOI10.1007/BF01241629zbMath0983.60100OpenAlexW2914900079MaRDI QIDQ2710394

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

Publication date: 2 July 2001

Published in: [https://portal.mardi4nfdi.de/entity/Q2710393 Boletim da Sociedade Brasileira de Matem�tica] (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01241629

zbMATH Keywords

central limit theoremtagged particlesimple exclusion processesadditive functionals of Markov processes

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Local time and additive functionals (60J55)

Related Items (11)

Hydrodynamic limit of asymmetric exclusion processes under diffusive scaling in \(d\geq 3\) ⋮ Finite-dimensional approximation for the diffusion coefficient in the simple exclusion process ⋮ Limit theorems for the position of a tagged particle in the stirring-exclusion process ⋮ Diffusivity bounds for 1D Brownian polymers ⋮ On the equilibrium state of the one-dimensional near-symmetric simple exclusion process ⋮ Quenched non-equilibrium central limit theorem for a tagged particle in the exclusion process with bond disorder ⋮ The quenched invariance principle for random walks in random environments admitting a bounded cycle representation ⋮ Upper bound on the occupation time in the simple exclusion process ⋮ Regularity of diffusion coefficient for nearest neighbor asymmetric simple exclusion on \(\mathbb{Z}\) ⋮ Nonequilibrium scaling limit for a tagged particle in the simple exclusion process with long jumps ⋮ On the sector condition and homogenization of diffusions with a Gaussian drift

Cites Work

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• Some properties of the diffusion coefficient for asymmetric simple exclusion processes
• The motion of a tagged particle in the simple symmetric exclusion system on Z
• Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions
• Nonlinear diffusion limit for a system with nearest neighbor interactions
• Driven tracer particle in one dimensional symmetric simple exclusion
• Self diffusion of a tagged particle in equilibrium for asymmetric mean zero random walk with simple exclusion
• Fluctuation-dissipation equation of asymmetric simple exclusion processes
• Equilibrium fluctuations for a driven tracer particle dynamics
• A limit theorem for the position of a tagged particle in a simple exclusion process
• Finite-dimensional approximation of the self-diffusion coefficient for the exclusion process
• Relative entropy and hydrodynamics of Ginzburg-Landau models
• DIFFUSIVE LIMIT OF ASYMMETRIC SIMPLE EXCLUSION
• Equilibrium fluctuations of asymmetric simple exclusion processes in dimension \(d\geq 3\)
• Symmetric simple exclusion process: Regularity of the self-diffusion coefficient

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