Abstract
The relation between cellular automata (CA) models of earthquakes and the Burridge-Knopoff (BK) model (Burridge and Knopoff, 1967) is studied. It is shown that the CA proposed by P. Bak and C.Tang, although they have rather realistic power spectra, do not correspond to the BK model. We present here a CA which establishes the correspondence with the BK model. An analytical method of studying the evolution of the BK-like CA is proposed. By this method a functional quadratic in stress release, which can be regarded as an analog of the event energy, is constructed. The distribution of seismic events with respect to this "energy" shows realistic behavior. We proposed an asymmetric stress redistribution CA which fits better the BK model.
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