2000 character limit reached
Dynamics of Tectonic Plates (1405.5925v2)
Published 22 May 2014 in math.PR, cond-mat.stat-mech, and physics.geo-ph
Abstract: We suggest a model that describes a mutual dynamic of tectonic plates. The dynamic is a sort of stick-slip one which is modeled by a Markov random process. The process defines a microlevel of the dynamic. A macrolevel is obtained by a scaling limit which leads to a system of integro-differential equations which determines a kind of mean field systems. Conditions when Gutenberg-Richter empirical law are presented on the mean field level. These conditions are rather universal and do not depend on features of resistant forces.