One-dimensional Ising model in arbitrary external field

Jerome Percus

Research output: Contribution to journalArticle

Abstract

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
Volume16
Issue number3
DOIs
StatePublished - Mar 1977

Fingerprint

One-dimensional Model
Alternate
Ising model
Ising Model
External Field
Lattice Gas
Density Profile
Arbitrary
profiles
gases
Correlation Function
Nearest Neighbor
interactions
Zero
Interaction
Range of data

Keywords

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

ASJC Scopus subject areas

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

Cite this

One-dimensional Ising model in arbitrary external field. / Percus, Jerome.

In: Journal of Statistical Physics, Vol. 16, No. 3, 03.1977, p. 299-309.

Research output: Contribution to journalArticle

Percus, Jerome. / One-dimensional Ising model in arbitrary external field. In: Journal of Statistical Physics. 1977 ; Vol. 16, No. 3. pp. 299-309.
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