Damage spreading in 2-dimensional isotropic and anisotropic Bak-Sneppen models
Department of Physics, Faculty of Science, Ege University, 35100 Izmir, Turkey
Corresponding authors: a email@example.com - b firstname.lastname@example.org
Revised: 19 February 2008
Published online: 21 March 2008
We implement the damage spreading technique on 2-dimensional isotropic and anisotropic Bak-Sneppen models. Our extensive numerical simulations show that there exists a power-law sensitivity to the initial conditions at the statistically stationary state (self-organized critical state). Corresponding growth exponent α for the Hamming distance and the dynamical exponent z are calculated. These values allow us to observe a clear data collapse of the finite size scaling for both versions of the Bak-Sneppen model. Moreover, it is shown that the growth exponent of the distance in the isotropic and anisotropic Bak-Sneppen models is strongly affected by the choice of the transient time.
PACS: 05.65.+b – Self-organized systems / 64.60.Ht – Dynamic critical phenomena / 87.23.Kg – Dynamics of evolution
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2008