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 (3)

• On fractional Brownian motion limits in one dimensional nearest-neighbor symmetric simple exclusion
• Hydrodynamic limit of particle systems with long jumps
• Scaling limits of a tagged particle in the exclusion process with variable diffusion coefficient