Collective modes in Ising lattices

Jerome Percus

Research output: Contribution to journalArticle

Abstract

The effect of collective modes on the otherwise local structure of Ising lattices is investigated by studying a number of exactly solvable models. First, the open one-dimensional Ising model serves to define sharp locality. This feature then remains upon extension to a Bethe lattice, despite the existence of a phase transition. But insertion of periodic boundary conditions creates a collective mode which breaks locality in a very specific fashion. A model interface is analyzed to show that even when locality is not broken, local uniformity can become untenable.

Original languageEnglish (US)
Pages (from-to)1263-1277
Number of pages15
JournalJournal of Statistical Physics
Volume55
Issue number5-6
DOIs
StatePublished - Jun 1989

Fingerprint

Locality
Ising
Ising model
insertion
Bethe Lattice
Exactly Solvable Models
Local Structure
boundary conditions
One-dimensional Model
Periodic Boundary Conditions
Uniformity
Ising Model
Insertion
Phase Transition
Model

Keywords

  • Articles collective mode
  • Bethe lattice
  • density functional
  • density profile
  • Ising lattice
  • local correlations

ASJC Scopus subject areas

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

Cite this

Collective modes in Ising lattices. / Percus, Jerome.

In: Journal of Statistical Physics, Vol. 55, No. 5-6, 06.1989, p. 1263-1277.

Research output: Contribution to journalArticle

Percus, Jerome. / Collective modes in Ising lattices. In: Journal of Statistical Physics. 1989 ; Vol. 55, No. 5-6. pp. 1263-1277.
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