### 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 - Jan 1 2009 |

Externally published | Yes |

### Keywords

- Hydrodynamic limit
- Nonequilibrium
- Scaling limit
- Tagged particle

### ASJC Scopus subject areas

- Analysis
- Statistics and Probability
- Statistics, Probability and Uncertainty

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## Cite this

Jara, M. D., Landim, C., & Sethuraman, S. (2009). Nonequilibrium fluctuations for a tagged particle in mean-zero one-dimensional zero-range processes.

*Probability Theory and Related Fields*,*145*(4), 565-590. https://doi.org/10.1007/s00440-008-0178-2