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Frequency-Size Distribution of Model Seismicity in a Statistical Mechanical Model of Earthquakes |
WU Zhong-liang |
Institute of Geophysics, China Seismological Bureau, Beijing 100081 |
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Cite this article: |
WU Zhong-liang 1999 Chin. Phys. Lett. 16 458-460 |
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Abstract The frequency-size distribution of model earthquakes in a one-dimensional Burridge-Knopoff spring-block model [Phys. Rev. Lett. 22 (1989) 2632] is studied. Analytical approach is taken to avoid the limitations on the size of models and computation time in numerical calculations. By using the Hamiltonian of the spring-block system a concept of seismic phonon' is proposed which is similar to the concept of phonon in solid state physics. The result of the occurrence frequency of model earthquakes shows a distribution similar to the modified gamma distribution proposed by Main and Burton using information theory.
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Keywords:
91.30.Bi
91.30.Px
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Published: 01 June 1999
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PACS: |
91.30.Bi
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(Seismic sources (mechanisms, magnitude, moment frequency spectrum))
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91.30.Px
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(Earthquakes)
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