Different hierarchy of avalanches observed in the Bak-Sneppen evolution model

Details Different hierarchy of avalanches observed in the Bak-Sneppen evolution model Different hierarchy of avalanches observed in the Bak-Sneppen evolution model

2000-05-03

arxiv.org/abs/cond-mat/0005067v1

Phys. Rev. E 61, 771 (2000)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 3 figures

Scientific paper

10.1103/PhysRevE.61.771

We introduce a new quantity, average fitness, into the Bak-Sneppen evolution model. Through the new quantity, a different hierarchy of avalanches is observed. The gap equation, in terms of the average fitness, is presented to describe the self-organization of the model. It is found that the critical value of the average fitness can be exactly obtained. Based on the simulations, two critical exponents, avalanche distribution and avalanche dimension, of the new avalanches are given.

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