Abstract
We prove a non-equilibrium functional central limit theorem for the position of a tagged particle in mean-zero one-dimensional zero-range process. The asymptotic behavior of the tagged particle is described by a stochastic differential equation governed by the solution of the hydrodynamic equation.
Original language | English (US) |
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Pages (from-to) | 565-590 |
Number of pages | 26 |
Journal | Probability Theory and Related Fields |
Volume | 145 |
Issue number | 4 |
DOIs | |
State | Published - 2009 |
Externally published | Yes |
Keywords
- Hydrodynamic limit
- Nonequilibrium
- Scaling limit
- Tagged particle
ASJC Scopus subject areas
- Analysis
- Statistics and Probability
- Statistics, Probability and Uncertainty