Damage spreading in the Bak-Sneppen and ballistic deposition models: critical dynamics and nonextensivity

LYRA M., Tirnakli U.

PHYSICA D-NONLINEAR PHENOMENA, vol.193, pp.329-337, 2004 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 193
  • Publication Date: 2004
  • Doi Number: 10.1016/j.physd.2004.01.030
  • Page Numbers: pp.329-337


We introduce a new damage spreading algorithm which is able to capture both the long-time and short-time dynamics of extended systems which evolves towards a critical statistically stationary state. In this sense, the dynamics of systems exhibiting self-organized critical states is shown to be similar to the one observed at the usual critical point of continuous phase transitions and at the onset of chaos of nonlinear low-dimensional dynamical maps. The proposed algorithm is applied to the Bak-Sneppen model of biological evolution and the ballistic deposition model of surface growth. The critical dynamics of these models are discussed within the framework of a nonextensive statistics formalism. (C) 2004 Elsevier B.V. All rights reserved.