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Nonlinear physics and mechanics
The Mechanism of the Fault Genesis and
Synchronization in the Dissipative Cellular Model
of Earthquakes
A. S. Cherepantsev South Federal University,
ul. Chekhova 2, Taganrog, 347922 Russia
Abstract:
This paper is concerned with the study of the patterns of the behavior of coupling elements
in the OFC model, which describes the statistical regularities of the seismic regime. It is shown
that there are two different modes of synchronous drop formation, simulating an earthquake.
Both mechanisms are determined by the capture of a neighboring element and the subsequent
synchronization of the drops. This process forms a stable drop of a larger size. The first mechanism
is typical for the initial stage of the system’s evolution toward a steady self-organized
critical state. In this case, the capture is determined by different rates of input of energy into the
elements in near-boundary regions of the lattice. The second mechanism is based on an increase
in the number of cluster boundary elements and, accordingly, an increase in the probability of
capture and synchronization of neighboring external elements. The theoretical values of the parameter
of the cluster size growth rate presented in this work are in good agreement with the
calculated values.
Keywords:
Olami – Feder –Christensen model, self-organized criticality, power-law distribution
in critical systems.
Received: 12.09.2021 Accepted: 11.11.2021
Citation:
A. S. Cherepantsev, “The Mechanism of the Fault Genesis and
Synchronization in the Dissipative Cellular Model
of Earthquakes”, Rus. J. Nonlin. Dyn., 18:1 (2022), 43–59
Linking options:
https://www.mathnet.ru/eng/nd778 https://www.mathnet.ru/eng/nd/v18/i1/p43
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Statistics & downloads: |
Abstract page: | 59 | Full-text PDF : | 19 | References: | 14 |
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