Nonequilibrium Central Limit Theorem for a Tagged Particle in Symmetric Simple Exclusion
arXiv:math/0505091 · doi:10.1016/j.anihpb.2005.04.007
Abstract
We prove a nonequilibirum central limit theorem for the position of a tagged particle in the one-dimensional nearest-neighbor symmetric simple exclusion process under diffusive scaling starting from a Bernoulli product measure associated to a smooth profile $ρ_0:\bb R\to [0,1]$.
Cited by in corpus (37)
- Single-File diffusion in a Box
- Non-equilibrium scaling limit for a tagged particle in the simple exclusion process with long jumps
- A stochastic Burgers equation from a class of microscopic interactions
- Diffusion of Finite-Sized Hard-Core Interacting Particles In a One-Dimensional Box - Tagged Particle Dynamics
- Large deviation function of a tracer position in single file diffusion
- Universality of KPZ equation
- On single file and less dense processes
- On fractional Brownian motion limits in one dimensional nearest-neighbor symmetric simple exclusion
- Phase transition in equilibrium fluctuations of symmetric slowed exclusion
- Anomalous fluctuations for a perturbed Hamiltonian system with exponential interactions
- Large deviations for the current and tagged particle in 1D nearest-neighbor symmetric simple exclusion
- Dynamics of heterogeneous hard spheres in a file
- Crossover to the KPZ equation
- Scaling limits of a tagged particle in the exclusion process with variable diffusion coefficient
- Tagged particle in single-file diffusion with arbitrary initial conditions
- Renewal-anomalous-heterogeneous files
- Single-file diffusion with non-thermal initial conditions
- A dynamical point of view of Quantum Information: Wigner measures
- Current and density fluctuations for interacting particle systems with anomalous diffusive behavior
- Random walks and exclusion processes among random conductances on random infinite clusters: homogenization and hydrodynamic limit
- Hydrodynamic limit of symmetric exclusion processes in inhomogeneous media
- On hydrodynamic limits in Sinai-type random environments
- Conservative stochastic PDE and fluctuations of the symmetric simple exclusion process
- First-passage dynamics of obstructed tracer particle diffusion in one-dimensional systems
- Current fluctuations of a system of one-dimensional random walks in random environment
- Equilibrium Fluctuations for the Totally Asymmetric Zero Range process
- Gumbel laws in the symmetric exclusion process
- Hammersley's harness process: invariant distributions and height fluctuations
- Hydrodynamic limit of zero range processes among random conductances on the supercritical percolation cluster
- Spatial-segregation limit for exclusion processes with two components under unbalanced reaction
- Quenched nonequilibrium central limit theorem for a tagged particle in the exclusion process with bond disorder
- Distribution of a tagged particle position in the one-dimensional symmetric simple exclusion process with two-sided Bernoulli initial condition
- A Driven Tagged Particle in Symmetric Exclusion Processes with Removals
- Distributional Limits for the Symmetric Exclusion Process
- Fluctuations of the empirical quantiles of independent Brownian motions
- Large Deviation Principle for Interacting Brownian Motions
- A limit theorem for particle current in the symmetric exclusion process