A mean-field Bak-Sneppen model with varying interaction strength |
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Authors: | Wei Li Yang Luo YuanFang Wang AiPing Cai |
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Institution: | LI Wei1,2,LUO Yang3,4,WANG YuanFang3 & CAI AiPing3 1 Complexity Science Center,Central China Normal University,Wuhan 430079,China,2 Max-Planck-Institute for Mathematics in the Sciences,Leipzig 04103,Germany,3 College of Physical Science and Technology,4 School of Mathematical Sciences,Fudan University,Shanghai 200433 |
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Abstract: | We propose a mean-field Bak-Sneppen (MFBS) model with varying interaction strength. The interaction strength, here denoted
by α, specifies the degree of interaction, and varies smoothly between 0 for no interaction and 1 for full interaction (restoring
the original BS model). Our simulations of the MFBS model reveal some interesting features. When β is non-zero, the MFBS model can evolve to a self-organized critical (SOC) state. The critical exponent of the avalanche size
distribution, τ, is insensitive to changes in α. The critical exponent of average avalanche size, γ, and the avalanche dimension exponent, D, both increase slightly with α < 0.5 but remain constant if α > 0.5. The critical threshold f
c decreases almost linearly with α. |
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Keywords: | Bak-Sneppen model self-organized criticality critical exponents |
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