Eur. Phys. J. B 62, 95-99 (2008)
https://doi.org/10.1140/epjb/e2008-00124-y

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 burhan.bakar@mail.ege.edu.tr - ^b ugur.tirnakli@ege.edu.tr

Received: 4 June 2007
Revised: 19 February 2008
Published online: 21 March 2008

Abstract

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.