LANDSLIDES ON SANDPILES - SOME MOMENT RELATIONS IN ONE DIMENSION

被引：15

作者：

KRUG, J

机构：

[1] IBM Research Division, T. J. Watson Research Center, Yorktown Heights, 10598, New York

来源：

JOURNAL OF STATISTICAL PHYSICS | 1992年 / 66卷 / 5-6期

关键词：

SELF-ORGANIZED CRITICALITY; SANDPILES; MULTISCALING;

D O I：

10.1007/BF01054439

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Several relations between the structure of stable recurrent states and the statistics of avalanches in a one-dimensional sandpile automation are derived and numerically verified. In particular, it is shown that the average avalanche size is determined by the second rather than the first moment of the distribution of trough distances. The two moments scale differently with system size, which implies multiscaling for the distribution. Moreover, the scaling of edge events (avalanches which fall off the pile) is shown to differ from that of bulk events (avalanches which remain on the pile).

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页码：1635 / 1641

页数：7

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