Jump of the minimal site and a new correlation function in the Bak-Sneppen model
Institute of Particle Physics, Hua-Zhong Normal University, Wuhan 430079, PR China
Corresponding author: a firstname.lastname@example.org
Revised: 28 June 2001
Published online: 15 August 2001
A new type of spatio-temporal correlation function for the process approaching the self-organized criticality is investigated within the Bak-Sneppen model for biological evolution. In terms of the "directional shorter distance" between the two sites with minimum fitness at two successive updates, the correlation function is defined and studied numerically for the nearest- and random-neighbor versions of the model. Qualitatively different behaviors of the jump of the minimal site in the two models are presented, and the behaviors of the correlation functions are shown also different.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 87.10.+e – General theory and mathematical aspects / 64.60.Ak – Renormalization-group, fractal, and percolation studies of phase transitions
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001