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Information Measure for Size Distribution of Avalanches in the Bak-Sneppen Evolution Model |
| LI Wei1,2;CAI Xu1 |
| 1Institute of Particle Physics, Huazhong Normal University, Wuhan 430079
2Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, NM 87501, USA
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| Cite this article: |
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LI Wei, CAI Xu 2003 Chin. Phys. Lett. 20 31-34 |
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Abstract Information of avalanche size distribution is measured by calculating information entropy (IE) in the Bak-Sneppen evolution model. It is found that the IE increases as the model evolves. Specifically, we establish the relation between the IE and the self-organized threshold fc. The variation of the IE near the critical point yields an exponent entropy index E = (τ - 1)/σ, where τ and σ represent the critical exponents for avalanche size distribution and avalanche size cutoff, respectively. A new quantity Dτ(g) (g = 1-(fc-G)(τ - 1)/σ, where G is the gap of the current state), defined as 1-Iτ(g)/Iτ(1), with Iτ(g) and Iτ(1) being the IE for the current state and the critical one respectively, is suggested that it represent the distance between the state with gap G and the critical one.
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| Keywords:
05.65.+b
45.70.Ht
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Published: 01 January 2003
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