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Levy-nearest-neighbors Bak-Sneppen model

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, ISSN: 1063-651X, Vol: 60, Issue: 2, Page: R1111-R1114
1999
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Article Description

We study a random neighbor version of the Bak-Sneppen model, where “nearest neighbors” are chosen according to a probability distribution decaying as a power law of the distance from the active site, [Formula Presented] All of the exponents characterizing the self-organized critical state of this model depend on the exponent [Formula Presented]. As [Formula Presented] we recover the usual random nearest-neighbor version of the model. The pattern of results obtained for a range of values of [Formula Presented] is also compatible with the results of simulations of the original BS model in high dimensions. Moreover, our results suggest a critical dimension [Formula Presented] for the Bak-Sneppen model, in contrast with previous claims. © 1999 The American Physical Society.

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