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

Milton Jara; Claudio Landim; Sunder Sethuraman

doi:10.1214/12-AIHP478

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

Milton Jara, Claudio Landim, Sunder Sethuraman

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

9 Scopus citations

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)
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	https://doi.org/10.1214/12-AIHP478
State	Published - Aug 2013
Externally published	Yes

Keywords

Diffusion
Interacting
Nonequilibrium
Particle system
Tagged
Zero-range

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1214/12-AIHP478

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AU - Landim, Claudio

AU - Sethuraman, Sunder

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AB - 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.

KW - Diffusion

KW - Interacting

KW - Nonequilibrium

KW - Particle system

KW - Tagged

KW - Zero-range

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

Abstract

Keywords

ASJC Scopus subject areas

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