On the robustness of scale invariance in SOC models

Details On the robustness of scale invariance in SOC models On the robustness of scale invariance in SOC models

1999-01-21

arxiv.org/abs/cond-mat/9901222v1

Phys. Rev. E 59, 4964-4969 (1999)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 4 figures; submitted to Physical Review E; http://link.aps.org/doi/10.1103/PhysRevE.59.4964

Scientific paper

10.1103/PhysRevE.59.4964

A random neighbor extremal stick-slip model is introduced. 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, is exactly calculable. The system is critical only at a special point Jc in the coupling parameter space. However, the critical region around this point, where approximate scale invariance holds, is very large, suggesting a mechanism for explaining the ubiquity of scale invariance in Nature.

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