The direct correlation function of a one-dimensional Ising model

C. Borzi, G. Ord, Jerome Percus

Research output: Contribution to journalArticle

Abstract

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
Volume46
Issue number1-2
DOIs
StatePublished - Jan 1987

Fingerprint

One-dimensional Model
Ising model
Ising Model
Correlation Function
Long-range Interactions
Arbitrary
Ising
Range of data
External Field
Strictly
interactions
Numerical Examples
Dependent
Interaction

Keywords

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

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

The direct correlation function of a one-dimensional Ising model. / Borzi, C.; Ord, G.; Percus, Jerome.

In: Journal of Statistical Physics, Vol. 46, No. 1-2, 01.1987, p. 51-66.

Research output: Contribution to journalArticle

Borzi, C. ; Ord, G. ; Percus, Jerome. / The direct correlation function of a one-dimensional Ising model. In: Journal of Statistical Physics. 1987 ; Vol. 46, No. 1-2. pp. 51-66.
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