Nonequilibrium fluctuations for a tagged particle in one-dimensional sublinear rate zero-range processes

Details Nonequilibrium fluctuations for a tagged particle in one-dimensional sublinear rate zero-range processes Nonequilibrium fluctuations for a tagged particle in one-dimensional sublinear rate zero-range processes

2010-11-04

arxiv.org/abs/1011.1199v1

Mathematics

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27 pages

Scientific paper

Nonequilibrium fluctuations of a tagged, or distinguished particle in a class of one dimensional mean-zero zero-range systems with sublinear, increasing rates are derived. In Jara-Landim-Sethuraman (2009), processes with at least linear rates are considered. A different approach to establish a main "local replacement" limit is required for sublinear rate systems, given that their mixing properties are much different. The method discussed also allows to capture the fluctuations of a "second-class" particle in unit rate, symmetric zero-range models.

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