Exact connections between current fluctuations and the second class particle in a class of deposition models

Márton Balázs*, Timo Seppäläinen

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

12 Citations (Scopus)

Abstract

We consider a large class of nearest neighbor attractive stochastic interacting systems that includes the asymmetric simple exclusion, zero range, bricklayers' and the symmetric K-exclusion processes. We provide exact formulas that connect particle flux (or surface growth) fluctuations to the two-point function of the process and to the motion of the second class particle. Such connections have only been available for simple exclusion where they were of great use in particle current fluctuation investigations.

Original languageEnglish
Pages (from-to)431-455
Number of pages25
JournalJournal of Statistical Physics
Volume127
Issue number2
DOIs
Publication statusPublished - Apr 2007

Keywords

  • Bricklayers'
  • Current fluctuations
  • Diffusivity
  • Second class particle
  • Simple exclusion
  • Space-time covariance
  • Two-point function
  • Zero range

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