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Damage Spreading In The Bak–Sneppen Model: Sensitivity To The Initial Conditions And Equilibration Dynamics

Author

Listed:
  • 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)

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.

Suggested Citation

  • Ugur Tirnakli & Marcelo L. Lyra, 2003. "Damage Spreading In The Bak–Sneppen Model: Sensitivity To The Initial Conditions And Equilibration Dynamics," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(06), pages 805-814.
    • Handle: RePEc:wsi:ijmpcx:v:14:y:2003:i:06:n:s0129183103004942
    DOI: 10.1142/S0129183103004942
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