Correlations in a nonequilibrium steady state: Exact results for a generalized kinetic ising model

Z. Rácz, M. Plischke

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

A one-dimensional kinetic Ising model with domain wall dynamics corresponding to diffusion-limited annihilation in the presence of particle sources is considered. The spin-spin correlation function Cr is calculated exactly for a nonequilibrium steady state which can be brought close to a critical point of the system. We find that in contrast to equilibrium situations, Cr contains two distinctly diverging correlation lengths ξ1 ≪ ξ2. While scaling appears for r ∼ ξ1, where ξ1 is an equilibrium type correlation length characterizing the cooperativity of the spins, no simple scaling is observed for r ≳ ξ2, where ξ2 is a length closely related to the nonequilibrium kinetics of the system.

Original languageEnglish
Pages (from-to)203-210
Number of pages8
JournalActa Physica Hungarica
Volume62
Issue number2-4
DOIs
Publication statusPublished - Oct 1 1987

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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