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Short-time dynamics of isotropic and anisotropic Bak–Sneppen model: extensive simulation results

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  • Tirnakli, Ugur
  • Lyra, Marcelo L.

Abstract

In this work, the short-time dynamics of the isotropic and anisotropic versions of the Bak–Sneppen (BS) model has been investigated using the standard damage spreading technique. Since the system sizes attained in our simulations are larger than the ones employed in previous studies, our results for the dynamic scaling exponents are expected to be more accurate than the results of the existing literature. The obtained scaling exponents of both versions of the BS model are found to be greater than the ones given in previous works. These findings are in agreement with the recent claim of Cafiero et al. (Eur. Phys. J. B7 (1999) 505). Moreover, it is found that the short-time dynamics of the anisotropic model is only slightly affected by finite-size effects and the reported estimate of α≃0.53 can be considered as a good estimate of the true exponent in the thermodynamic limit.

Suggested Citation

  • Tirnakli, Ugur & Lyra, Marcelo L., 2004. "Short-time dynamics of isotropic and anisotropic Bak–Sneppen model: extensive simulation results," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 344(3), pages 712-717.
    • Handle: RePEc:eee:phsmap:v:344:y:2004:i:3:p:712-717
    DOI: 10.1016/j.physa.2004.06.053
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    Keywords

    Critical dynamics; Bak–Sneppen model;

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