Abstract

We review the properties of the frustrated percolation model. This model, which stems from the Kasteleyn–Fortuin approach to spin glasses exhibits a percolation transition at a temperature T p with critical exponents of the ferromagnetic s=1/2 state Potts model, and a second transition at a lower temperature T 0 in the same universality class of the Ising spin glass model. An extension of Sweeny dynamics to the frustrated percolation model show glassy behavior at high density or low temperature close T 0 while T p marks the onset of long time stretched exponential decay. The site version of the model can be adapted to describe the complex behaviour of supercooled liquids and granular materials.

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