Exact solution of a deterministic sandpile model in one dimension

S. C. Lee, N. Y. Liang, W. J. Tzeng

研究成果: 雜誌貢獻期刊論文同行評審

20 引文 斯高帕斯(Scopus)

摘要

We present an exact solution of a one-dimensional sandpile model for which sand is dropped along the wall and N=2 grains of sand fall over the neighboring downhill sites when the critical slope is exceeded. The slopes of N consecutive sites organize into a local state. The time evolution of the local states along the spatial direction shows a natural tree structure. As a result, various multifractals can be identified. The spatial two-point correlation function decreases exponentially with a correlation length of the order of the lattice spacing.

原文???core.languages.en_GB???
頁(從 - 到)1479-1481
頁數3
期刊Physical Review Letters
67
發行號12
DOIs
出版狀態已出版 - 1991

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