Intermittent criticality in the long-range connective sandpile (LRCS) model

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• 作者：Chien-chih Chen ; Ya-Ting Lee ; Ling-Yun Chiao
• 关键词：Sandpile model ; Self-organized criticality ; Small-world network ; Long-range connection ; Seismicity
• 刊名：Physics Letters A
• 出版年：2008
• 出版时间：9 June 2008
• 年：2008
• 卷：372
• 期：24
• 页码：4340-4343
• 全文大小：410 K

文摘

We here propose a long-range connective sandpile model with variable connection probability SC78NH-1&_mathId=mml7&_user=1067359&_cdi=5538&_rdoc=3&_acct=C000050221&_version=1&_userid=10&md5=6cabca6bc8ab5aed4bef619a557caa04"" title=""Click to view the MathML source"" alt=""Click to view the MathML source"">P_c which has an important impact on the slope of the power-law frequency-size distribution of avalanches. The long-range connection probability P_c is changed according to an explicit function of the size of the latest event, although the evolution rule of P_c may be different in various physical systems. Such version of the sandpile model demonstrates large fluctuations in the dynamical variable Z(t) (the spatially averaged amount of grains retained within the grid at each time step), indicating the state of intermittent criticality in the system. Many researches have suggested that the earthquake fault system is an intermittent criticality system, which would imply some level of statistical predictability of great events. Our modified sandpile model thus provides a testing ground for many proposed precursory measures related to great earthquakes.