A mean-field Bak-Sneppen model with varying interaction strength  

作　　者：LI Wei LUO Yang WANG YuanFang CAI AiPing 

机构地区：[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

出　　处：《Chinese Science Bulletin》2011年第34期3639-3642,共4页

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

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.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.

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 

分 类 号：O242.1[理学—计算数学]