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| Author(s): |
Tiago de Paula Peixoto
Total Authors: 1
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| Document type: | Doctoral Thesis |
| Press: | São Paulo. |
| Institution: | Universidade de São Paulo (USP). Instituto de Física (IF/SBI) |
| Defense date: | 2007-12-19 |
| Examining board members: |
Carmen Pimentel Cintra do Prado;
Nestor Felipe Caticha Alfonso;
Jose Fernando Fontanari;
Jorge Simões de Sá Martins;
Giovani Lopes Vasconcelos
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| Advisor: | Carmen Pimentel Cintra do Prado |
| Abstract | |
We study the dynamics of the epicenters of the Olami-Feder-Christensen model of earthquakes (OFC), using the concepts and tools of complex networks. In particular, we study the graph of consecutive epicenters, where two subsequent events represent a directed edge, and the source and target vertices represent the respective sites on the lattice. The topology of this graph, which exhibits scale-invariance and strong degree correlation, reveals a characteristic dynamics of temporary attractors and quasi-periodicity. This dynamics is compared to that of real seismicity, and the limitations of the model are assessed. The temporary attractor dynamics is also found in real earthquakes, however it differs from the one observed in the model in key points, which will be described in detail. Besides the analysis of the dynamics of the dynamics of epicenters, we systematically study two non-trivial behaviours of the OFC model, which was necessary for the study of the epicenters: The identification and characterization of a \"border effect\" in the model, and the separation of scales in the size of events, which takes into account their spatial distribution. These results have an important relevance to the study of the OFC model in general. In particular, we will revisit the analysis of the criticality of the model, which takes into account these criteria. (AU) | |