Periodic Gibbs states of ferromagnetic spin systems

Jean Bricmont, Joel Lebowitz, Charles E. Pfister

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

We give a complete description of the set of periodic Gibbs states at low temperatures for classical spin systems with arbitrary ferromagnetic, finite-range, interactions and fairly general even single-spin distribution of compact support on R. This extends results of Holsztynski and Slawny for the spin-1/2 case. The extension is based on recent ferromagnetic inequalities and low-temperature expansions.

Original languageEnglish (US)
Pages (from-to)269-277
Number of pages9
JournalJournal of Statistical Physics
Volume24
Issue number1
DOIs
StatePublished - Jan 1 1981

Fingerprint

Gibbs States
Spin Systems
Compact Support
Arbitrary
Interaction
Range of data
expansion
interactions

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Keywords

  • Low-temperature phases
  • ferromagnetic spins
  • periodic Gibbs states

Cite this

Bricmont, Jean ; Lebowitz, Joel ; Pfister, Charles E. / Periodic Gibbs states of ferromagnetic spin systems. In: Journal of Statistical Physics. 1981 ; Vol. 24, No. 1. pp. 269-277.
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Periodic Gibbs states of ferromagnetic spin systems. / Bricmont, Jean; Lebowitz, Joel; Pfister, Charles E.

In: Journal of Statistical Physics, Vol. 24, No. 1, 01.01.1981, p. 269-277.

Research output: Contribution to journalArticle

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