Eur. Phys. J. B 21, 109-114 (2001)
https://doi.org/10.1007/s100510170219

Fluctuations and finite-size effect in the Bak-Sneppen model

¹ Institute of Particle Physics, Hua-Zhong Normal University, Wuhan 430079, PR China
² Max-Planck-Institut für Physik, Föhringer Ring 6, 80805 München, Germany

Corresponding author: ^a yangcb@iopp.ccnu.edu.cn

Received: 10 December 2000
Revised: 18 January 2001
Published online: 15 May 2001

Abstract

The self-organized criticality in the nearest-neighbor version of the Bak-Sneppen model is investigated from the event-by-event fluctuations of the mean fitness. The finite-size effect on the evolution of the critical state is shown, and a scaling solution to the gap equation for an infinite one-dimensional lattice is given numerically for the first time. The mean lifetime of avalanches is presented as a function of the gap from the solution. The critical value of the gap and an exponent are calculated from the solution.