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Influence of Inhomogeneity on Critical Behavior of Earthquake Model on Random Graph |
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| Authors: | ZHANG Duan-Ming SUN Fan YU Bo-Ming PAN Gui-Jun YIN Yan-Ping LI Rui SU Xiang-Ying |
| Institution: | Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, China Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, China Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, China Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, China Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, China Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, China Department of Physics, Huazhong University of Science and Technology, Wuhan 430074, China |
| Abstract: | We consider the earthquake model on a random graph. A detailed analysis of the probability distribution of the size of the avalanches will be given. The model with different inhomogeneities is studied in order to compare the critical behavior of different systems. The results indicate that with the increase of the inhomogeneities, the avalanche exponents reduce, i.e., the different numbers of defects cause different critical behaviors of the system. This is virtually ascribed to the dynamical perturbation. |
| Keywords: | self-organized criticality earthquake model critical behavior power-law finite size scaling random network |
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