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

Preprint

3 May 2000

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0005067

Abstract

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.

Keywords

DIFFERENT HIERARCHY
AVALANCHES OBSERVED
SNEPPEN EVOLUTION
EVOLUTION MODEL
CRITICAL VALUE
BAK SNEPPEN

All Related Versions

Version 1, 2000-05-03, ArXiv
Version 1, 1999-05-17, ArXiv (Unconfirmed version)
Published version: Physical Review E, 61 (1), 771.

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