NONEXPONENTIAL RELAXATION IN FULLY FRUSTRATED MODELS

Citation
A. Fierro et al., NONEXPONENTIAL RELAXATION IN FULLY FRUSTRATED MODELS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(5), 1997, pp. 4990-4997
Citations number
48
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
56
Issue
5
Year of publication
1997
Part
A
Pages
4990 - 4997
Database
ISI
SICI code
1063-651X(1997)56:5<4990:NRIFFM>2.0.ZU;2-J
Abstract
We study the dynamical properties of the fully frustrated Ising model. Due to the absence of disorder the model, contrary to spin glass, doe s not exhibit any Griffiths phase, which has been associated to nonexp onential relaxation dynamics. Nevertheless, we find numerically that t he model exhibits; a stretched exponential behavior below a temperatur e T-p corresponding to the percolation transition of the Kasteleyn-For tuin clusters. We have also found that the critical behavior of these clusters for a fully frustrated q-state spin model at the percolation threshold is strongly affected by frustration. In fact while in the ab sence of frustration the q=1 limit gives random percolation. in the pr esence of frustration the critical behavior is in the same universalit y class of the ferromagnetic q=1/2-state Potts model.