Damage spreading in the Bak-Sneppen model: Sensitivity to the initial conditions and equilibration dynamics
| dc.creator | Tirnakli, U. | |
| dc.creator | Lyra, M. L. | |
| dc.date | 2002-07-09 | |
| dc.date | 2003-02-27 | |
| dc.date.accessioned | 2026-07-25T22:15:54Z | |
| dc.description | 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. | |
| dc.description | 6 pages, 4 figs, revised version, accepted for publication in Int.J.Mod.Phys.C 14 (2003) | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0207233 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0207233 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/87407 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Quantitative Biology | |
| dc.title | Damage spreading in the Bak-Sneppen model: Sensitivity to the initial conditions and equilibration dynamics | |
| dc.type | text |