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Convergence dynamics of 2-dimensional isotropic and anisotropic Bak–Sneppen models

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  • Bakar, Burhan
  • Tirnakli, Ugur

Abstract

The conventional Hamming distance measurement captures only short-time dynamics of the displacement between uncorrelated random configurations. The minimum difference technique introduced by Tirnakli and Lyra [U. Tirnakli, M.L. Lyra. Int. J. Mod. Phys. C 14 (2003) 805] is used to study short-time and long-time dynamics of the two distinct random configurations of isotropic and anisotropic Bak–Sneppen models on a square lattice. Similar to a 1-dimensional case, the time evolution of the displacement is intermittent. The scaling behavior of the jump activity rate and waiting time distribution reveal the absence of typical spatial-temporal scales in the mechanism of displacement jumps used to quantify convergence dynamics.

Suggested Citation

  • Bakar, Burhan & Tirnakli, Ugur, 2008. "Convergence dynamics of 2-dimensional isotropic and anisotropic Bak–Sneppen models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(21), pages 5110-5116.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:21:p:5110-5116
    DOI: 10.1016/j.physa.2008.04.031
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    Keywords

    Critical dynamics; Bak–Sneppen model;

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