Critical exponent of susceptibility for a class of general ferromagnets in d>4 dimensions

Kei Ichi Kondo, Takashi Hara

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

A "rigorous proof" is presented that the critical exponent γ of the susceptibility χ takes its mean field value in d>4 dimensions for ferromagnets with single spin measure in the Brydges- Fröhlich-Spencer class, modulo a numerical calculation of a certain function I(d) of dimension d. This class of ferromagnets contains, for example, the Ising spin model and lattice scalar φ4 model.

Original languageEnglish
Pages (from-to)1206-1208
Number of pages3
JournalJournal of Mathematical Physics
Volume28
Issue number5
DOIs
Publication statusPublished - Jan 1 1987
Externally publishedYes

Fingerprint

Ferromagnet
Susceptibility
Critical Exponents
exponents
magnetic permeability
Spin Models
Numerical Calculation
Mean Field
Ising Model
Modulo
Scalar
scalars
Class
Model

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Critical exponent of susceptibility for a class of general ferromagnets in d>4 dimensions. / Kondo, Kei Ichi; Hara, Takashi.

In: Journal of Mathematical Physics, Vol. 28, No. 5, 01.01.1987, p. 1206-1208.

Research output: Contribution to journalArticle

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