Phys. Rev. E 59, 6356–6360 (1999)Exactly solvable sandpile with fractal avalanchingReceived 13 October 1998; published in the issue dated June 1999 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 power laws with index -1 (“1/f spectra”). © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.59.6356
DOI:
10.1103/PhysRevE.59.6356
PACS:
05.65.+b, 45.05.+x, 05.40.-a
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