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. 10.1103/PhysRevE.59.6356
Abstract
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].
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