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

Mathematics – Probability

Scientific paper

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41 pages

Scientific paper

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.

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