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

Burhan Bakar; Ugur Tirnakli

doi:10.1140/epjb/e2008-00124-y

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arXiv · 0706.0445

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

Burhan Bakar·Ugur Tirnakli

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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.

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BibTeX RIS

Burhan Bakar, Ugur Tirnakli. 2008-03-06. Damage spreading in 2-dimensional isotropic and anisotropic Bak-Sneppen models. https://doi.org/10.1140/epjb/e2008-00124-y

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