New collective modes of interaction nature in inhomogeneous Ising networks

L. Šamaj, Jerome Percus

Research output: Contribution to journalArticle

Abstract

We propose a vertex formulation of the Ising model with inhomogeneous external field on multiconnected networks possessing a superbond structure. The related technique based on gauge degrees of freedom enables us to recognize new collective modes of interaction nature, which provide an exact solution of the inverse profile problem and an explicit form of a local free-energy functional on an extended magnetization-mode space. Application is made to a square strip.

Original languageEnglish (US)
Pages (from-to)235-251
Number of pages17
JournalJournal of Statistical Physics
Volume73
Issue number1-2
DOIs
StatePublished - Oct 1993

Fingerprint

Energy Functional
Ising
Magnetization
Ising Model
External Field
Strip
Free Energy
Gauge
Exact Solution
Degree of freedom
Formulation
Vertex of a graph
Interaction
Ising model
strip
apexes
degrees of freedom
free energy
interactions
formulations

Keywords

  • collective modes
  • free energy functional
  • Inhomogeneous Ising network
  • profile equation

ASJC Scopus subject areas

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

Cite this

New collective modes of interaction nature in inhomogeneous Ising networks. / Šamaj, L.; Percus, Jerome.

In: Journal of Statistical Physics, Vol. 73, No. 1-2, 10.1993, p. 235-251.

Research output: Contribution to journalArticle

Šamaj, L. ; Percus, Jerome. / New collective modes of interaction nature in inhomogeneous Ising networks. In: Journal of Statistical Physics. 1993 ; Vol. 73, No. 1-2. pp. 235-251.
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