A. De Candia et al., Cluster formulation of spin glasses and the frustrated percolation model: statics and dynamics, J PHYS A, 32(26), 1999, pp. 4817-4832
We study the properties of the q-state frustrated bond percolation model by
a Monte Carlo 'bond flip' dynamics, using an algorithm originally devised
by Sweeny and suitably modified to treat the presence of frustration. For q
= 2 the model gives the cluster formulation of the Edwards-Anderson spin g
lass. We analyse the percolation transition of the model, and find that it
falls in the universality class of the q/2-state ferromagnetic Potts model.
We then investigate the bond flip dynamics of the model, and find that, wh
ile for temperatures higher than the percolation transition, T-p, the relax
ation functions are fitted by a single exponential; for T < T-p they show a
two-step decay, reminiscent of the relaxation of glass-forming liquids. Th
e long time decay (alpha-relaxation) is well fitted for T < T-p by a stretc
hed exponential function, showing that in this model the relevant mechanism
for the appearance of stretched exponentials is the percolation transition
. At very low temperatures the relaxation functions develop a long plateau,
as observed in glass-forming liquids.