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


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Bakar B., Tirnakli U.

EUROPEAN PHYSICAL JOURNAL B, cilt.62, ss.95-99, 2008 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 62 Konu: 1
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1140/epjb/e2008-00124-y
  • Dergi Adı: EUROPEAN PHYSICAL JOURNAL B
  • Sayfa Sayısı: ss.95-99

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.