The McCoy-Wu model in the mean-field approximation

Bertrand Berche, Pierre Emmanuel Berche, F. Iglói, Gábor Palágyi

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

We consider a system with randomly layered ferromagnetic bonds (McCoy-Wu model) and study its critical properties in the frame of mean-field theory. In the low-temperature phase there is an average spontaneous magnetization in the system, which vanishes as a power law at the critical point with the critical exponents β ≈ 3.6 and β1 ≈ 4.1 in the bulk and at the surface of the system, respectively. The singularity of the specific heat is characterized by an exponent α ≈ -3.1. The samples reduced critical temperature tc = Tavc - Tc has a power law distribution P(tc) ∼ tωc and we show that the difference between the values of the critical exponents in the pure and in the random system is just ω ≈ 3.1. Above the critical temperature the thermodynamic quantities behave analytically, thus the system does not exhibit Griffiths singularities.

Original languageEnglish
Pages (from-to)5193-5202
Number of pages10
JournalJournal of Physics A: Mathematical and General
Volume31
Issue number23
DOIs
Publication statusPublished - Jun 12 1998

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Mean-field Approximation
exponents
critical temperature
Critical Temperature
approximation
Critical Exponents
Mean field theory
Singularity
Temperature
Random Systems
Specific heat
Magnetization
critical point
Power-law Distribution
Mean-field Theory
Specific Heat
specific heat
Thermodynamics
Model
Vanish

ASJC Scopus subject areas

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

Cite this

The McCoy-Wu model in the mean-field approximation. / Berche, Bertrand; Berche, Pierre Emmanuel; Iglói, F.; Palágyi, Gábor.

In: Journal of Physics A: Mathematical and General, Vol. 31, No. 23, 12.06.1998, p. 5193-5202.

Research output: Contribution to journalArticle

Berche, Bertrand ; Berche, Pierre Emmanuel ; Iglói, F. ; Palágyi, Gábor. / The McCoy-Wu model in the mean-field approximation. In: Journal of Physics A: Mathematical and General. 1998 ; Vol. 31, No. 23. pp. 5193-5202.
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