Summary
The static and dynamic properties of the frustrated percolation model are investigated. This model, which contains frustration as an essential ingredient, exhibits two transitions: a percolation transition at a temperatureT p with critical exponents of the ferromagnetic (s=1/2)-state Potts model, and a second transition at a lower temperatureT g in the same universality class of the Ising spin glass model. AboveT p the time-dependent autocorrelation function is characterized by a single exponential, while forT p>T>T g preliminary numerical results show a broad shoulder or plateau typical of a structural glass transition. BelowT g the system is in glassy state with an infinitely long relaxation time.
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Coniglio, A. Frustrated percolation, spin glasses and glasses. Il Nuovo Cimento D 16, 1027–1037 (1994). https://doi.org/10.1007/BF02458785
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DOI: https://doi.org/10.1007/BF02458785