COMMON TRENDS IN THE CRITICAL-BEHAVIOR OF THE ISING AND DIRECTED WALKMODELS

Authors
IGLOI F TURBAN L
Citation
F. Igloi et L. Turban, COMMON TRENDS IN THE CRITICAL-BEHAVIOR OF THE ISING AND DIRECTED WALKMODELS, Physical review letters, 77(7), 1996, pp. 1206-1209
Citations number
33
Categorie Soggetti
Physics
Journal title
Physical review letters → ACNP
ISSN journal
00319007
Volume
77
Issue
7
Year of publication
1996
Pages
1206 - 1209
Database
ISI
SICI code
0031-9007(1996)77:7<1206:CTITCO>2.0.ZU;2-0
Abstract
We consider layered two-dimensional Ising and directed walk models and show that the two problems are inherently related. The information ab out the zero-field thermodynamical properties of the Ising model is co ntained in the transfer matrix of the directed walk. For several hiera rchical and aperiodic distributions of the couplings, critical exponen ts for the two problems are obtained exactly through renormalization.