Selforganized criticality in a crackpropagation model of earthquakes
Abstract
The distribution of seismic moment or energy of earthquakes is well described by the universal GutenbergRichter power law, N(s)~=s^{1b}, where b~=0.50.6. We have constructed a simple dynamical model of crack propagation; when driven by slowly increasing shear stress, the model evolves into a selforganized critical state. A powerlaw distribution for earthquakes with b~=0.4 in two dimensions and b~=0.6 in three dimensions is found. The critical state is ``at the edge of chaos,'' with algebraic growth in time of a small initial perturbation.
 Publication:

Physical Review A
 Pub Date:
 January 1991
 DOI:
 10.1103/PhysRevA.43.625
 Bibcode:
 1991PhRvA..43..625C
 Keywords:

 05.40.+j;
 91.30.Bi;
 91.30.Dk;
 64.60.Ht;
 Seismic sources;
 Seismicity;
 Dynamic critical phenomena