Damage spreading in the Bak-Sneppen model: Sensitivity to the initial conditions and equilibration dynamics


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Tirnakli U. , LYRA M.

INTERNATIONAL JOURNAL OF MODERN PHYSICS C, cilt.14, ss.805-814, 2003 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 14 Konu: 6
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1142/s0129183103004942
  • Dergi Adı: INTERNATIONAL JOURNAL OF MODERN PHYSICS C
  • Sayfa Sayıları: ss.805-814

Özet

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.