– We present a non-randomly, frustrated lattice model which exhibits activated dynamics at a critical point. The phase transition involves ordering of large-scale structures which occur naturally within the model. Through the construction of a coarse-grained master equation, we show that the time scales diverge exponentially while the static fluctuations exhibit the usual power law divergences....

Two versions of the M-p-spin glass model have been studied with the Migdal-Kadanoff renormalization group approximation. The model with p = 3 and M = 3 has at mean-field level the ideal glass transition at the Kauzmann temperature and at lower temperatures still the Gardner transition to a state like that of an Ising spin glass in a field. The model with p = 3 and M = 2 has only the Gardner tra...