Exactly solvable sandpile with fractal avalanching

Helander, P.; Chapman, S.C.; Dendy, R.O.; Rowlands, G.; Watkins, N.W.. 1999 Exactly solvable sandpile with fractal avalanching. Physical Review E., 59 (6). 6356-6360. https://doi.org/10.1103/PhysRevE.59.6356

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Abstract/Summary

A simple one-dimensional sandpile model is constructed which possesses exact analytical solvability while displaying both scale-free behavior and fractal properties. The sandpile grows by avalanching on all scales, yet its shape and energy content are described by a simple, continuous (but nowhere differentiable) analytical formula. The avalanche energy distribution and the avalanche time series are both pou er lows with index -1 (''1/f spectra''). [S1063-651X(99)00306-2].

Item Type:	Publication - Article
Digital Object Identifier (DOI):	https://doi.org/10.1103/PhysRevE.59.6356
Programmes:	BAS Programmes > Pre 2000 programme
ISSN:	1063651X
NORA Subject Terms:	Mathematics Physics
Date made live:	15 Oct 2013 10:50 +0 (UTC)
URI:	https://nora.nerc.ac.uk/id/eprint/503509

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