One-dimensional Ising model in arbitrary external field

J. K. Percus

Research output: Contribution to journalArticlepeer-review


The external potential needed to produce an arbitrary equilibrium density profile for a one-dimensional lattice gas with nearest neighbor interactions is solved exactly. The resulting sequence of direct correlation functions is shown to be of short range, and in the ferromagnetic case the even members alternate in sign at zero spin. The even Ursell distributions in this case likewise alternate in sign.

Original languageEnglish (US)
Pages (from-to)299-309
Number of pages11
JournalJournal of Statistical Physics
Issue number3
StatePublished - Mar 1977


  • Ising model
  • Ursell distributions
  • direct correlations
  • external field
  • lattice gas
  • nonuniform
  • one-dimensional

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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