Common trends in the critical behavior of the ising and directed walk models

F. Iglói, Loïc Turban

Research output: Contribution to journalArticle

36 Citations (Scopus)

Abstract

We consider layered two-dimensional Ising and directed walk models and show that the two problems are inherently related. The information about the zero-field thermodynamical properties of the Ising model is contained in the transfer matrix of the directed walk. For several hierarchical and aperiodic distributions of the couplings, critical exponents for the two problems are obtained exactly through renormalization.

Original languageEnglish
Pages (from-to)1206-1209
Number of pages4
JournalPhysical Review Letters
Volume77
Issue number7
Publication statusPublished - 1996

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Ising model
exponents
trends

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Common trends in the critical behavior of the ising and directed walk models. / Iglói, F.; Turban, Loïc.

In: Physical Review Letters, Vol. 77, No. 7, 1996, p. 1206-1209.

Research output: Contribution to journalArticle

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