Self-Organized Criticality in a Fibre-Bundle type model

Details Self-Organized Criticality in a Fibre-Bundle type model Self-Organized Criticality in a Fibre-Bundle type model

1999-09-14

arxiv.org/abs/cond-mat/9909211v1

Physica A 274, 400 (1999)

Physics

Condensed Matter

Statistical Mechanics

10 pages, 6 figures. To be published in Physica A

Scientific paper

10.1016/S0378-4371(99)00358-1

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 $\tau\simeq 1.5$.

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