Damage spreading in the Bak–Sneppen and ballistic deposition models: critical dynamics and nonextensivity
Makaleler > Tam Makale · 2004
Yazarlar: ML LYRA, Uğur TIRNAKLI
Physica D: Nonlinear Phenomena, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2004, cilt 193, ss 329-337
DOI: 10.1016/j.physd.2004.01.030
Özet
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.