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

M. D. Jara; C. Landim; S. Sethuraman

doi:10.1007/s00440-008-0178-2

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

M. D. Jara
, C. Landim
, S. Sethuraman

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

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	https://doi.org/10.1007/s00440-008-0178-2
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

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10.1007/s00440-008-0178-2

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title = "Nonequilibrium fluctuations for a tagged particle in mean-zero one-dimensional zero-range processes",

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.",

keywords = "Hydrodynamic limit, Nonequilibrium, Scaling limit, Tagged particle",

author = "Jara, \{M. D.\} and C. Landim and S. Sethuraman",

note = "Funding Information: C. Landim was partially supported by the John S. Guggenheim Memorial Foundation, FAPERJ and CNPq; M.D. Jara and S. Sethuraman were partially supported by NSA-H982300510041 and NSF-DMS-0504193.",

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language = "English (US)",

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

AU - Jara, M. D.

AU - Landim, C.

AU - Sethuraman, S.

N1 - Funding Information: C. Landim was partially supported by the John S. Guggenheim Memorial Foundation, FAPERJ and CNPq; M.D. Jara and S. Sethuraman were partially supported by NSA-H982300510041 and NSF-DMS-0504193.

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 - https://www.scopus.com/pages/publications/70350025498

UR - https://www.scopus.com/pages/publications/70350025498#tab=citedBy

U2 - 10.1007/s00440-008-0178-2

DO - 10.1007/s00440-008-0178-2

M3 - Article

AN - SCOPUS:70350025498

SN - 0178-8051

VL - 145

SP - 565

EP - 590

JO - Probability Theory and Related Fields

JF - Probability Theory and Related Fields

IS - 4

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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