Self-Organized Criticality in a Fibre-Bundle type model

Y. Moreno; J. B. Gomez; A. F. Pacheco

doi:10.1016/s0378-4371(99)00358-1

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arXiv · cond-mat/9909211

Self-Organized Criticality in a Fibre-Bundle type model

Y. Moreno·J. B. Gomez·A. F. Pacheco

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Abstract

The dynamics of a fibre-bundle type model with equal load sharing rule is numerically studied. The system, formed by N elements, is driven by a slow increase of the load upon it which is removed in a novel way through internal transfers to the elements broken during avalanches. When an avalanche ends, failed elements are regenerated with strengths taken from a probability distribution. For a large enough N and certain restrictions on the distribution of individual strengths, the system reaches a self-organized critical state where the spectrum of avalanche sizes is a power law with an exponent $τ\simeq 1.5$.

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Y. Moreno, J. B. Gomez, A. F. Pacheco. 1999-09-14. Self-Organized Criticality in a Fibre-Bundle type model. https://doi.org/10.1016/s0378-4371(99)00358-1

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