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

Ferenc 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
DOIs
Publication statusPublished - Jan 1 1996

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Common trends in the critical behavior of the ising and directed walk models'. Together they form a unique fingerprint.

  • Cite this