Convergence dynamics of the Bak-Sneppen model: Activity rate and waiting time distribution


Tirnakli U. , LYRA M. L.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, cilt.375, ss.103-109, 2007 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 375 Konu: 1
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1016/j.physa.2006.08.029
  • Dergi Adı: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
  • Sayfa Sayısı: ss.103-109

Özet

In this work, we study the convergence dynamics of two independent random configurations of the Bak-Sneppen model of self-organized criticality evolving under the same external noise. A recently proposed measure of the Hamming distance which considers the minimum difference between displaced configurations is used. The displacement evolves in time intermittently. We compute the jump activity rate and waiting time distribution and report on their asymptotic power-law scaling which characterizes the slow relaxation and the absence of typical length and time scales typical of critical dynamical systems. (c) 2006 Elsevier B.V. All rights reserved.