Abstract
Abstract Several avalanche phenomena occur in disordered media where randomness is frozen or “quenched” and does not evolve on the timescale of the avalanches. The simple examples are provided by percolation and its dynamic counterpart, invasion percolation. Furthermore, a wide class of driven disordered systems displays athermal disorder-induced phase transitions characterized by avalanche dynamics. The prototype model for this behavior is the random-field Ising model that, at the critical point, displays power law distributed avalanche distributions for which analytical results are possible. The model is particularly interesting because it is the prototype of many problems ruled by the competition between nucleation and growth of domains in a disordered landscape.
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