Exact solution of a deterministic sandpile model in one dimension

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

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)1479-1481
Number of pages3
JournalPhysical Review Letters
Volume67
Issue number12
DOIs
StatePublished - 1991

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