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In order to clarify how the statistical properties of earthquakes depend onthe constitutive law characterizing the stick-slip dynamics, we make anextensive numerical simulation of the one-dimensional spring-block model withthe rate- and state-dependent friction law. Both the magnitude distribution andthe recurrence-time distribution are studied with varying the constitutiveparameters characterizing the model. While a continuous spectrum of seismicevents from smaller to larger magnitudes is obtained, earthquakes described bythis model turn out to possess pronounced ``characteristic'' features.Comment: Minor revisions are made in the text and in the figures. Accepted for  publication in Europhys. Letter

Rate- and state-dependent friction law and statistical properties of earthquakes