Application of Fractal Cellular Automata to Self-Organized Criticality

BAK P,TANG C,WIESENFELD K.Self-organized criticality[J]. Physical Review A,1988,1 (1):364-374.[2] BAK P,TANG C,WIESENFELD K.Self-organized criticality:An explanation of 1/f noise[J]. Physical Review Letters,1987,59(4):381-384.[3] PER B,CHEN K.Self-organized criticality[J]. Scientific American,1991,264(1):26-33.[4] HELD G A,SOLINA D H Ⅱ,KEANE D T,et al.Experimental study of criticality mass fluctuation in an evolving sandpile[J]. Physical Review Letters,1990,65(9):1 120-1 123.[5] 姚令侃,李仕雄,蒋良潍.自组织临界性及其在散粒体研究中的应用[J]. 四川大学学报:工程科学版,2003,35(1):8-14.YAO Lingkan,LI Shixiong,JIANG Liangwei.Self-organzied criticality and its application in granular mixtures[J]. Journal of Sichuan University:Engineering Science Edition,2003,35 (1):8-14.[6] 蒋良潍,姚令侃,李仕雄.非均匀散粒体自组织临界性机制初探[J]. 岩石力学与工程学报,2004,23(18):3 178-3 184.JIANG Liangwei,YAO Lingkan,LI Shixiong.Mechanism of self-organized criticality in non-homogenous granular mixtures[J]. Chinese Journal of Rock Mechanics and Engineering,2004,23(18):3 178-3 184.[7] 苏凤环,姚令侃,何越磊.散粒体的自组织临界性与非均匀介质的元胞自动机模型[J]. 岩石力学与工程学报,2005,24(23):4 239-4 246.SU Fenghuan,YAO Lingkan,HE Yuelei.Self-organized criticality of granular mixture and non-uniform cellular automata[J]. Chinese Journal of Rock Mechanics and Engineering,2005,24(23):4 239-4 246.[8] 李仕雄,姚令侃,蒋良潍.临界状态下沙堆大规模坍塌的机制[J]. 西南交通大学学报,2004,39(3):366-370.LI Shixiong,YAO Lingkan,JIANG Liangwei.Mechanism of sandpile avalance in critical state[J]. Journal of Southwest Jiaotong University,2004,39(3):366-370.[9] TURCOTTE D L.Fractals and fragmentation[J]. Journal of Geophysical Research,1986,91(B2):1 921-1 926.[10] MANNA S S.Large scale simulation of avalanche cluster distribution in sand pile model[J]. Journal of Statistical Physics,1990,59(12):509-521.[11] DHAR D.Self-organized critical state of sandpile automata models[J]. Physical Review Letters,1990,64(14):1 613-1 616.[12] GRUZINOV I,DIAMOND P H.On sand piles with bi-stable automata rules-towards a minimal model of pedestal formation and structure[J]. Physical Review Letters,2002,89(2):255 001-255 009.