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The Burridge-Knopoff Model on Rough Surfaces

Movahhednejad, Hamid Reza | 2017

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 50150 (04)
  4. University: Sharif University of Technology
  5. Department: Physics
  6. Advisor(s): Moghimi Araghi, Saman
  7. Abstract:
  8. Earthquakes are of self-organized critical phenomena, the phenomena that exhibit scaling behavior without tuning external parameters. A number of models have been proposed to describe such features of earthquakes, the most known one is the Burridge-Knopoff model. The Burridge-Knopof model is a spring-block system where the blocks slip on a plate which has friction and are attached through some other springs to a moving plate. Because of the moving plate the blocks become under increasing tension but do not move until the tension overcomes the static friction. As a result, the blocks will move and then stop repeatedly. These movements are avalanche-like and their intensity obeys a power-law distribution. In the model the properties of the block are usually taken to be the same, however in reality the two surfaces that are rubbed together are not uniform. In fact many surfaces are rough surfaces that show power-low distributions. In this thesis, we consider Burridge-Knopoff model in which the masses of the blocks come from a distribution. We have considered uniform and power-law distributions. We have observed that in the case of power-law distribution with exponents less than two, the exponent of avalanche-distribution is changed significantly
  9. Keywords:
  10. Self Organized Criticality ; Rough Surface Scattering ; Earthquake ; Critical Phenomena ; Burridge-Knopoff Model

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