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


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Bakar B., Tirnakli U.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, cilt.387, ss.5110-5116, 2008 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 387 Konu: 21
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1016/j.physa.2008.04.031
  • Dergi Adı: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
  • Sayfa Sayıları: ss.5110-5116

Özet

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) 8051 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. (C) 2008 Elsevier B.V. All rights reserved.