Chin. Phys. Lett.  2003, Vol. 20 Issue (1): 31-34    DOI:
Original Articles |
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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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.

Keywords: 05.65.+b      45.70.Ht     
Published: 01 January 2003
PACS:  05.65.+b (Self-organized systems)  
  45.70.Ht (Avalanches)  
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https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2003/V20/I1/031
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