Self-organized (quasi-)criticality: the extremal Feder and Feder model

Details Self-organized (quasi-)criticality: the extremal Feder and Feder model Self-organized (quasi-)criticality: the extremal Feder and Feder model

1998-02-27

arxiv.org/abs/cond-mat/9802311v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 3 figures

Scientific paper

A simple random-neighbor SOC model that combines properties of the Bak-Sneppen and the relaxation oscillators (slip-stick) models is introduced. The analysis in terms of branching processes is transparent and gives insight about the development of large but finite mean avalanche sizes in dissipative models. In the thermodynamic limit, the distribution of states has a simple analytical form and the mean avalanche size, as a function of the coupling parameter strength, is exactly calculable.

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