Correlations in nonequilibrium steady states of random halves models

Kevin K. Lin, Lai Sang Young

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


We present the results of a detailed study of energy correlations at steady state for a 1-D model of coupled energy and matter transport. Our aim is to discover-via theoretical arguments, conjectures, and numerical simulations-how spatial covariances scale with system size, their relations to local thermodynamic quantities, and the randomizing effects of heat baths. Among our findings are that short-range covariances respond quadratically to local temperature gradients, and long-range covariances decay linearly with macroscopic distance. These findings are consistent with exact results for the simple exclusion and KMP models.

Original languageEnglish (US)
Pages (from-to)607-639
Number of pages33
JournalJournal of Statistical Physics
Issue number3
StatePublished - Aug 2007


  • Covariance
  • Heat baths
  • Nonequilibrium
  • Temperature gradient

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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