Dynamics of Tectonic Plates
Probability
2014-09-11 v2 Statistical Mechanics
Geophysics
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.
Cite
@article{arxiv.1405.5925,
title = {Dynamics of Tectonic Plates},
author = {E. Pechersky and A. Pirogov and G. Sadowski and A. Yambartsev},
journal= {arXiv preprint arXiv:1405.5925},
year = {2014}
}
Comments
3 figures