Damage spreading in 2-dimensional isotropic and anisotropic Bak-Sneppen models

Details Damage spreading in 2-dimensional isotropic and anisotropic Bak-Sneppen models Damage spreading in 2-dimensional isotropic and anisotropic Bak-Sneppen models

2007-06-04

arxiv.org/abs/0706.0445v2

Eur. Phys. J. B 62, 95 (2008)

Physics

Condensed Matter

Statistical Mechanics

revised version, 9 pages, 5 eps figures, use of svjour.sty

Scientific paper

10.1140/epjb/e2008-00124-y

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.

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