Abstract
The dynamics of a general class of two-dimensional cellular automaton slider-block models of earthquake faults is studied as a function of the failure rules that determine slip and the nature of the failure threshold. Scaling properties of clusters of failed sites imply the existence of a mean-field spinodal line in systems with spatially random failure thresholds, whereas spatially uniform failure thresholds produce behavior reminiscent of self-organized critical behavior. This model can describe several classes of faults, ranging from those that only exhibit creep to those that produce large events.
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Rundle, J.B., Klein, W. Scaling and critical phenomena in a cellular automaton slider-block model for earthquakes. J Stat Phys 72, 405–412 (1993). https://doi.org/10.1007/BF01048056
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DOI: https://doi.org/10.1007/BF01048056