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A class of models were found to operate naturally at a critical point whose properties yield power law scaling of earthquake statistics.
Specifically, we have used the Fisher equation, which describes diffusive spreading, growth and decay of a scalar density of species.
Self driven mode switching of earthquake activity on a fault system.
A scaling theory in terms of the disorder strength and the magnetic field strength is being worked out, which gives exact values for most exponents and would suggest that two is the lower critical dimension of the interface depinning transition with a correlation length scaling exponentially.
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