The GHS inequality for a large external field

Richard S. Ellis, Charles M. Newman, Michael R. O'Connell

Research output: Contribution to journalArticle

Abstract

We consider general even ferromagnetic systems with pair interactions in a nonnegative external magnetic field h. Classes of single-site measures ρ are found such that the GHS inequality is valid for all h ≥ h, where h ≥ 0 is a number depending on ρ but independent of the size of the system. These measures include both absolutely continuous and discrete measures. For ρ =a δ0+{(1-a)/2} · (δ1-1), some a ε [0, 1), h is determined exactly.

Original languageEnglish (US)
Pages (from-to)37-52
Number of pages16
JournalJournal of Statistical Physics
Volume26
Issue number1
DOIs
StatePublished - Sep 1981

Fingerprint

External Field
Absolutely Continuous
Magnetic Field
Non-negative
Valid
Interaction
magnetic fields
interactions
Class

Keywords

  • correlation inequalities
  • general even ferromagnetic systems
  • GHS inequality

ASJC Scopus subject areas

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

Cite this

The GHS inequality for a large external field. / Ellis, Richard S.; Newman, Charles M.; O'Connell, Michael R.

In: Journal of Statistical Physics, Vol. 26, No. 1, 09.1981, p. 37-52.

Research output: Contribution to journalArticle

Ellis, Richard S. ; Newman, Charles M. ; O'Connell, Michael R. / The GHS inequality for a large external field. In: Journal of Statistical Physics. 1981 ; Vol. 26, No. 1. pp. 37-52.
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