Avalanche dynamics in Bak-Sneppen evolution model observed with standard distribution width of fitness
نویسندگان
چکیده
We introduce the standard distribution width of fitness to characterize the global and individual features of a ecosystem in the Bak-Sneppen evolution model. Through tracking this quantity in evolution, a different hierarchy of avalanche dynamics, w0 avalanche is observed. The corresponding gap equation and the self-organized threshold wc are obtained. The critical exponents τ, γ and ρ, which describe the behavior of the avalanche size distribution, the average avalanche size and the relaxation to attractor, respectively, are calculated with numerical simulation. The exact master equation and γ equation are derived. And the scaling relations are established among the critical exponents of this new avalanche. PACS numbers: 87.10.+e, 05.40.-a, 05.65.+b Typeset using REVTEX ∗Email address: [email protected] 1
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The avalanche dynamics in Bak-Sneppen evolution model observed with standard distribution width of fitness
We introduce the standard distribution width of fitness in the Bak-Sneppen evolution model. Through observing the fluctuation of this quantity in evolution, we find a different hierarchy of avalanche dynamics, w0 avalanche. We also obtain the corresponding gap equation and the self-organized threshold wc. The critical exponents (τ, γ and ρ), which describe the behavior of avalanche size distrib...
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