Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2000-05-03
Phys. Rev. E 5630 (2000)
Physics
Condensed Matter
Statistical Mechanics
5 pages, 1 figure
Scientific paper
10.1103/PhysRevE.61.5630
Infinite hierarchy of exact equations are derived for the newly-observed f-avalanche in the Bak-Sneppen evolution model. By solving the first order exact equation, we found that the critical exponent which governs the divergence of the average avalanche size, is exactly 1 (for all dimensions), confirmed by the simulations. Solution of the gap equation yields another universal exponent, denoting the the relaxation to the attractor, is exactly 1. We also establish some scaling relations among the critical exponents of the new avalanche.
Cai Xu
Li Wangrong
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