744 research outputs found
Damage spreading in the Bak-Sneppen model: Sensitivity to the initial conditions and equilibration dynamics
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 exhibits 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 non-linear
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 fitted within a
single mathematical framework. A connection with nonextensive statistical
mechanics is exhibited.Comment: 6 pages, 4 figs, revised version, accepted for publication in
Int.J.Mod.Phys.C 14 (2003
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