Collective modes in Ising lattices

J. K. Percus

Research output: Contribution to journalArticlepeer-review


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
Issue number5-6
StatePublished - Jun 1989


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

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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