The direct correlation function of a one-dimensional Ising model

C. Borzi, G. Ord, J. K. Percus

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The strictly finite range of the direct correlation function for a homogeneous nearest neughbor Ising chain is shown to persist in the presence of arbitrary site-dependent coupling constants and an arbitrary external field. A method is developed to examine the range of the direct correlation function for many-neighbor interactions. It is found from numerical examples that, in general, third-neighbor and higher interactions induce long-range direct correlations, as does the presence of a field in the second-neighbor case.

Original languageEnglish (US)
Pages (from-to)51-66
Number of pages16
JournalJournal of Statistical Physics
Issue number1-2
StatePublished - Jan 1 1987



  • Direct correlation function
  • lattice gas
  • one-dimensional Ising model

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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