Soumyajyoti Biswas, Bikas K. Chakrabarti
We study the dynamics of a local load sharing fiber bundle model, where initially load is applied only at a single point. Since more and more fibers share the load after the initial fibers break, the breaking process will eventually stop, no matter how large the initial load is. One has to increase further the load to continue the breaking dynamics in the model. This leads the system to a self-organized state, where scale free behaviour of avalanche size distribution and other associated quantities are seen. We present a scaling argument to explain the value of the exponent. We also analyze the effect of having a lower cut-off in the threshold distribution of the fibers.
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http://arxiv.org/abs/1305.7124
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