Abstract
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 (Probab. Theory Related Fields 145 (2009) 565-590), 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.
Original language | English (US) |
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Pages (from-to) | 611-637 |
Number of pages | 27 |
Journal | Annales de l'institut Henri Poincare (B) Probability and Statistics |
Volume | 49 |
Issue number | 3 |
DOIs | |
State | Published - Aug 2013 |
Keywords
- Diffusion
- Interacting
- Nonequilibrium
- Particle system
- Tagged
- Zero-range
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty