Response factorization of simply connected Ising lattices with application to bethe lattice spin glasses

G. Zhang, Jerome Percus

Research output: Contribution to journalArticle

Abstract

The thermodynamics of a classical lattice gas in Ising form, with arbitrary interaction, is set up in entropy format, with multipoint magnetizations as control parameters. It is specialized to the case of one- and two-point interactions on a simply connected lattice; both entropy and profile equations are written down explicitly. Linear response functions are expressed in Wertheim-Baxter factorization and used to derive the Jacobian of the transformation from couplings to magnetizations. An arbitrary spin-glass coupling distribution is transformed to the corresponding magnetization distribution, whose effect on thermodynamic properties is assessed. A Gaussian coupling-fluctuation expansion diverges at sufficiently large fluctuation amplitude, suggesting the possibility of a phase transition.

Original languageEnglish (US)
Pages (from-to)1365-1377
Number of pages13
JournalJournal of Statistical Physics
Volume70
Issue number5-6
DOIs
StatePublished - Mar 1993

Fingerprint

Bethe Lattice
Spin Glass
factorization
Ising
Magnetization
spin glass
Factorization
magnetization
Entropy
Fluctuations
entropy
Point Interactions
Lattice Gas
Linear Response
Thermodynamic Properties
Arbitrary
Response Function
Diverge
Linear Function
Control Parameter

Keywords

  • Bethe lattice
  • Nonuniform Ising model
  • spin glass

ASJC Scopus subject areas

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

Cite this

Response factorization of simply connected Ising lattices with application to bethe lattice spin glasses. / Zhang, G.; Percus, Jerome.

In: Journal of Statistical Physics, Vol. 70, No. 5-6, 03.1993, p. 1365-1377.

Research output: Contribution to journalArticle

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