Current and density fluctuations for interacting particle systems with anomalous diffusive behavior

Abstract

We prove density and current fluctuations for two examples of symmetric, interacting particle systems with anomalous diffusive behavior: the zero-range process with long jumps and the zero-range process with degenerated bond disorder. As an application, we obtain subdiffusive behavior of a tagged particle in a simple exclusion process with variable diffusion coefficient.

41 pages

References in corpus (6)

• Nonequilibrium Central Limit Theorem for a Tagged Particle in Symmetric Simple Exclusion
• On fractional Brownian motion limits in one dimensional nearest-neighbor symmetric simple exclusion
• Flux fluctuations in the one dimensional nearest neighbors symmetric simple exclusion process
• Hydrodynamic limit of particle systems with long jumps
• Single-file dynamics with different diffusion constants
• Scaling limits of a tagged particle in the exclusion process with variable diffusion coefficient

Cited by in corpus (5)

• From normal diffusion to superdiffusion of energy in the evanescent flip noise limit
• Clustering in anomalous files of independent particles
• On microscopic derivation of a fractional stochastic Burgers equation
• Current fluctuations of a system of one-dimensional random walks in random environment
• Equilibrium fluctuations for gradient exclusion processes with conductances in random environments