Correlations and scaling in the outflow statistics of a sandpile automaton

S. S. Manna; János Kertész

doi:10.1016/0378-4371(91)90250-G

Correlations and scaling in the outflow statistics of a sandpile automaton

S. S. Manna^*, János Kertész

^*Corresponding author for this work

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Abstract (may include machine translation)

We study numerically the outflow of a two-dimensional sandpile cellular automation. Motivated by recent experiments we calculated the correlations in the sizes of the outflow avalanches and obtained for short times exponential decay. For long times a quasiperiodic behavior was observed with the characteristic time proportional to the number of sites in the system. The latter feature is attributed to the Abelian character of the considered model. The size distribution of the outflow avalanches can be described excellently by multifractal scaling.

Original language	English
Pages (from-to)	49-59
Number of pages	11
Journal	Physica A: Statistical Mechanics and its Applications
Volume	173
Issue number	1-2
DOIs	https://doi.org/10.1016/0378-4371(91)90250-G
State	Published - 15 Apr 1991
Externally published	Yes

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10.1016/0378-4371(91)90250-G

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title = "Correlations and scaling in the outflow statistics of a sandpile automaton",

abstract = "We study numerically the outflow of a two-dimensional sandpile cellular automation. Motivated by recent experiments we calculated the correlations in the sizes of the outflow avalanches and obtained for short times exponential decay. For long times a quasiperiodic behavior was observed with the characteristic time proportional to the number of sites in the system. The latter feature is attributed to the Abelian character of the considered model. The size distribution of the outflow avalanches can be described excellently by multifractal scaling.",

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Correlations and scaling in the outflow statistics of a sandpile automaton

Abstract (may include machine translation)

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