Exact equations and scaling relations for f0 avalanche in the Bak-Sneppen evolution model.
An infinite hierarchy of exact equations is derived for the newly observed f0 avalanche in the Bak-Sneppen model. By solving the first-order exact equation, we find that the critical exponent gamma, governing the divergence of the average avalanche size, is exactly 1 (for all dimensions), which has been confirmed by extensive simulations. Solution of the gap equation yields another universal result rho = 1 (rho is the exponent of relaxation to attractor). Scaling relations are established among the critical exponents (gamma, tau, D, sigma, and nu) for the f0 avalanche.
Li
W
W
Institute of Particle Physics, Hua-zhong Normal University, Wuhan, China. liw@iopp.ccnu.edu.cn
Cai
X
X
D005075:Biological Evolution; D003198:Computer Simulation; D014644:Genetic Variation; D008954:Models, Biological; D015233:Models, Statistical; D011336:Probability