arXiv · 1405.5925
Dynamics of Tectonic Plates
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.
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E. Pechersky, A. Pirogov, G. Sadowski, A. Yambartsev. 2014-09-10. Dynamics of Tectonic Plates. https://arxiv.org/abs/1405.5925
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