Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dependence of the source deactivation factor on the earthquake magnitude   Three fundamental laws of the physics of earthquakes, bearing the names of
their discoverers Omori, Gutenberg, Richter and Bath, are widely used in
original, review, monographic, and encyclopedic literature. In this paper, we
have tried to look at laws from an unusual point of view. The idea behind our
approach is as follows. Each of the three laws was established in the course of
work on solving a specific research problem, and the result was expressed in a
specific mathematical form. We asked ourselves whether it is possible to modify
the statement of the problem, and/or modify the form of expression of the law
in order to see new facets of a well-known scientific statement? The result was
successful in relation to Omori's law, according to which the frequency of
aftershocks hyperbolically decreases over time. The modified formulation of the
problem was to find a differential equation describing the time evolution of
aftershocks. We found a simple differential model, within the framework of
which the concept of deactivation of the earthquake source is introduced. The
question of dependence of the deactivation factor on the magnitude of main
shock is analyzed theoretically and experimentally. A monotonic decrease in the
deactivation factor with an increase in the magnitude of the main shock has
been reliably established. Other possible applications of the proposed
methodological technique are considered. In particular, it is indicated how to
overcome the contradiction between the Omori law and the law of energy
conservation. Keywords: Omori law, Gutenberg-Richter law, Bath law, main shock,
aftershock, deactivation factor, Omori epoch, differential equation of
evolution.

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The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys