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A mean-field Bak-Sneppen model with varying interaction strength
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  • 分类：O571.2[理学—粒子物理与原子核物理;理学—物理] TD752[矿业工程—矿井通风与安全]
  • 作者机构：[1]Complexity Science Center, Central China Normal University, Wuhan 430079, China, [2]Max-Planck-lnstitutefor Mathematics in the Sciences, Leipzig 04103, Germany, [3]College of Physical Science and Technology, Central China Normal University, Wuhan 430079, China, [4]School of Mathematical Sciences, Fudan University, Shanghai 200433, China
  • 相关基金：supported by the National Natural Science Foundation of China （10647125, 10635020, 10975057 and 10975062）; the Program of Introducing Talents of Discipline to Universities （B08033）; the Max-Planck-Institute for Mathematics in the Sciences
作者： LI Wei[1,2], LUO Yang[3,4], WANG YuanFang[3], CAI AiPing[3]
关键词： 相互作用, 平均场, 场模型, 强度, 自组织临界状态, 临界指数, BS模型, 模型模拟, Bak-Sneppen model, self-organized criticality, critical exponents
中文摘要：

我们与改变相互作用力量建议一个吝啬地的 Bak-Sneppen (MFBS ) 模型。相互作用力量，这里表示了由，指定相互作用的度，并且为没有相互作用在 0 之间顺利变化并且 1 为完整的相互作用(恢复原来的 BS 模型) 。我们 MFBS 模型的模拟揭示一些有趣的特征。什么时候是非零， MFBS 模型能演变到一自我组织批评(SOC ) 状态。雪崩尺寸分发的批评代表，，对变化在感觉迟钝。平均雪崩尺寸的批评代表，，并且雪崩尺寸代表， D，两个都稍微增加与 < 0.5 但是遗体常数如果 > 0.5。批评阀值 f c 几乎线性地减少与。

英文摘要：

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 α is non-zero, the MFBS model can evolve to a self-organized critical （SOC） state. The critical exponent of the avalanche size distribution, α, is insensitive to changes in α. The critical exponent of average avalanche size, α, and the avalanche dimension exponent, D, both increase slightly with α 0.5 but remain constant if α 0.5. The critical threshold fc decreases almost linearly with α.

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