A sufficient condition is presented herein for which the particle addition operations commute in the eventual phase space of a general cellular automata-type of sandpile model. The commutative nature of the particle addition operations results from the reduction of the eventual phase space. It suggests that a large number of self-organized critical models can be reduced to the Abelian sandpile if only the long term behavior of these systems is considered.
机构:
Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Fujian, Peoples R ChinaMinnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Fujian, Peoples R China
Wu, Xiaoxia
Zhang, Lianzhu
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Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R ChinaMinnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Fujian, Peoples R China
Zhang, Lianzhu
Dong, Hawei
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Minjiang Univ, Dept Math, Fuzhou 350108, Fujian, Peoples R ChinaMinnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Fujian, Peoples R China
Dong, Hawei
Qin, Chengfu
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Guangxi Teachers Educ Univ, Dept Math, Guangxi 530001, Peoples R ChinaMinnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Fujian, Peoples R China
机构:
SUNY Stony Brook, Dept Math, Stony Brook, NY 11794 USASUNY Stony Brook, Dept Math, Stony Brook, NY 11794 USA
Hough, Robert
Son, Hyojeong
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SUNY Stony Brook, Dept Math, Stony Brook, NY 11794 USA
Washington Univ, Dept Math & Stat, One Brookings Dr, St Louis, MO 63130 USASUNY Stony Brook, Dept Math, Stony Brook, NY 11794 USA