Damage spreading in 2-dimensional isotropic and anisotropic Bak-Sneppen models
Makaleler > Tam Makale · 2008
Yazarlar: B. Bakar, Uğur TIRNAKLI
EUROPEAN PHYSICAL JOURNAL B, SCI Expanded İndekslerine Giren Dergi, Uluslararası, 2008, cilt 62, ss 95-99
DOI: 10.1140/epjb/e2008-00124-y
Özet
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 alpha 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.