Multifractal properties in the one-dimensional random-field Ising model

Research output: Contribution to journalArticle

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Abstract

The Ising chain in a random field is investigated in the region of parameter settings where the measure related to the free-energy distribution is a fractal. The multifractal spectrum is calculated by means of a perturbation expansion in terms of the strength of the random field by exploiting the connection with the problem of a non-natural measure of a one-dimensional map. It is shown that the multifractal spectrum and the distribution of the free-energy fluctuations of finite chains are connected.

Original languageEnglish
Pages (from-to)1703-1707
Number of pages5
JournalPhysical Review A
Volume37
Issue number5
DOIs
Publication statusPublished - 1988

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Ising model
free energy
fractals
energy distribution
perturbation
expansion

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Atomic and Molecular Physics, and Optics

Cite this

Multifractal properties in the one-dimensional random-field Ising model. / Bene, J.; Szépfalusy, P.

In: Physical Review A, Vol. 37, No. 5, 1988, p. 1703-1707.

Research output: Contribution to journalArticle

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