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

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

Research output: Contribution to journalArticle

12 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)565-590
Number of pages26
JournalProbability Theory and Related Fields
Volume145
Issue number4
DOIs
StatePublished - 2009
Externally publishedYes

Fingerprint

Zero-range Process
Tagged Particle
Non-equilibrium
Fluctuations
Functional Central Limit Theorem
Hydrodynamic Equations
Zero
Stochastic Equations
Asymptotic Behavior
Differential equation
Stochastic differential equations
Asymptotic behavior
Central limit theorem

Keywords

  • Hydrodynamic limit
  • Nonequilibrium
  • Scaling limit
  • Tagged particle

ASJC Scopus subject areas

  • Statistics and Probability
  • Analysis
  • Statistics, Probability and Uncertainty

Cite this

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

In: Probability Theory and Related Fields, Vol. 145, No. 4, 2009, p. 565-590.

Research output: Contribution to journalArticle

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