Non-universal critical behaviour in mean-field theory of inhomogeneous systems

F. Iglói, Gábor Palágyi

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We consider the layered magnetic systems with inhomogeneous inter-layer couplings and study their critical properties within the framework of mean-field theory. We consider two kinds of distribution of the couplings: (i) quasi-periodic, according to the Fibonacci sequence and (ii) smoothly inhomogeneous, in which the couplings deviate from the bulk couplings by an amount of Al-2, where l measures the distance from a free surface. According to analytical and accurate numerical results the critical behaviour of both the problems is non-universal and the corresponding critical exponents are coupling dependent.

Original languageEnglish
Pages (from-to)685-693
Number of pages9
JournalPhysica A: Statistical Mechanics and its Applications
Volume240
Issue number3-4
Publication statusPublished - Jun 15 1997

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Mean-field Theory
Critical Behavior
Fibonacci sequence
Free Surface
Critical Exponents
exponents
Numerical Results
Dependent

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistical and Nonlinear Physics

Cite this

Non-universal critical behaviour in mean-field theory of inhomogeneous systems. / Iglói, F.; Palágyi, Gábor.

In: Physica A: Statistical Mechanics and its Applications, Vol. 240, No. 3-4, 15.06.1997, p. 685-693.

Research output: Contribution to journalArticle

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