### 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) |
---|---|

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 |

### Fingerprint

### Keywords

- Hydrodynamic limit
- Nonequilibrium
- Scaling limit
- Tagged particle

### ASJC Scopus subject areas

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

### Cite this

*Probability Theory and Related Fields*,

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

**Nonequilibrium fluctuations for a tagged particle in mean-zero one-dimensional zero-range processes.** / Jara, M. D.; Landim, C.; Sethuraman, Sunder.

Research output: Contribution to journal › Article

*Probability Theory and Related Fields*, vol. 145, no. 4, pp. 565-590. https://doi.org/10.1007/s00440-008-0178-2

}

TY - JOUR

T1 - Nonequilibrium fluctuations for a tagged particle in mean-zero one-dimensional zero-range processes

AU - Jara, M. D.

AU - Landim, C.

AU - Sethuraman, Sunder

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

KW - Hydrodynamic limit

KW - Nonequilibrium

KW - Scaling limit

KW - Tagged particle

UR - http://www.scopus.com/inward/record.url?scp=70350025498&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70350025498&partnerID=8YFLogxK

U2 - 10.1007/s00440-008-0178-2

DO - 10.1007/s00440-008-0178-2

M3 - Article

AN - SCOPUS:70350025498

VL - 145

SP - 565

EP - 590

JO - Probability Theory and Related Fields

JF - Probability Theory and Related Fields

SN - 0178-8051

IS - 4

ER -