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
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.