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Frustrated percolation

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  • Coniglio, Antonio

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 Tp with critical exponents of the ferromagnetic s=1/2 state Potts model, and a second transition at a lower temperature T0 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 T0 while Tp 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.

Suggested Citation

  • Coniglio, Antonio, 1999. "Frustrated percolation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 266(1), pages 379-389.
    • Handle: RePEc:eee:phsmap:v:266:y:1999:i:1:p:379-389
    DOI: 10.1016/S0378-4371(98)00620-7
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