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DAMAGE SPREADING IN THE BAK–SNEPPEN MODEL: SENSITIVITY TO THE INITIAL CONDITIONS AND EQUILIBRATION DYNAMICS

UGUR TIRNAKLI

Department of Physics, Faculty of Science, Ege University, 35100 Izmir, Turkey

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and

MARCELO L. LYRA

Departamento de Física, Universidade Federal de Alagoas, Maceió-AL, Brazil

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https://doi.org/10.1142/S0129183103004942Cited by:12 (Source: Crossref)

Abstract

The short-time and long-time dynamics of the Bak–Sneppen model of biological evolution are investigated using the damage spreading technique. By defining a proper Hamming distance measure, we are able to make it exhibit an initial power-law growth which, for finite size systems, is followed by a decay towards equilibrium. In this sense, the dynamics of self-organized critical states is shown to be similar to the one observed at the usual critical point of continuous phase transitions and at the onset of chaos of nonlinear low-dimensional dynamical maps. The transient, pre-asymptotic and asymptotic exponential relaxation of the Hamming distance between two initially uncorrelated equilibrium configurations is also shown to be fit within a single mathematical framework.

Keywords:

PACS: 05.65.+b, 64.60.Ht, 87.23.Kg

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