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

Ugur Tirnakli () and Marcelo L. Lyra
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Ugur Tirnakli: Department of Physics, Faculty of Science, Ege University, 35100 Izmir, Turkey
Marcelo L. Lyra: Departamento de Física, Universidade Federal de Alagoas, Maceió-AL, Brazil

International Journal of Modern Physics C (IJMPC), 2003, vol. 14, issue 06, 805-814

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: Damage spreading; critical dynamics; Bak–Sneppen model; 05.65.+b; 64.60.Ht; 87.23.Kg (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1142/S0129183103004942

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