Convergence dynamics of 2-dimensional isotropic and anisotropic Bak–Sneppen models
Articles > Article · 2008
Authors: Burhan Bakar, Uğur TIRNAKLI
Physica A: Statistical Mechanics and its Applications, Journal Indexed in SCI Expanded, International, WoS, 2008, vol 387, pp 5110-5116
DOI: 10.1016/j.physa.2008.04.031
Summary
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.