Superdiffusivity of occupation-time variance in 2-dimensional asymmetric exclusion processes with density ρ = 1/2

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4 Scopus citations

Abstract

We compute that the growth of the occupation-time variance at the origin up to time t in dimension d = 2 with respect to asymmetric simple exclusion in equilibrium with density ρ = 1/2 is in a certain sense at least tlog (log t) for general rates, and at least t(log t) 1/2 for rates which are asymmetric only in the direction of one of the axes. These estimates give a complement to bounds in the literature when d = 1, and are consistent with an important conjecture with respect to the transition function and variance of "second-class" particles.

Original languageEnglish (US)
Pages (from-to)787-802
Number of pages16
JournalJournal of Statistical Physics
Volume123
Issue number4
DOIs
StatePublished - May 1 2006
Externally publishedYes

Keywords

  • Second-class particle
  • Secondary 60F05
  • Simple exclusion AMS (2000) subject classifications: Primary 60K35
  • Variance of occupation times

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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