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

Milton Jara, Claudio Landim, Sunder Sethuraman

Research output: Contribution to journalArticle

4 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 languageEnglish (US)
Pages (from-to)611-637
Number of pages27
JournalAnnales de l'institut Henri Poincare (B) Probability and Statistics
Volume49
Issue number3
DOIs
StatePublished - Aug 1 2013

Keywords

  • Diffusion
  • Interacting
  • Nonequilibrium
  • Particle system
  • Tagged
  • Zero-range

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Fingerprint Dive into the research topics of 'Nonequilibrium fluctuations for a tagged particle in one-dimensional sublinear zero-range processes'. Together they form a unique fingerprint.

  • Cite this