title: Exactly solvable sandpile with fractal avalanching.
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 power laws with index -1 ("1/f spectra").
authors.affiliation: EURATOM/UKAEA Fusion Association, Culham Science Centre, Abingdon OX14 3DB, United Kingdom.
authors.forename: P
authors.initials: P
authors.lastname: Helander
authors.forename: S C
authors.initials: SC
authors.lastname: Chapman
authors.forename: R O
authors.initials: RO
authors.lastname: Dendy
authors.forename: G
authors.initials: G
authors.lastname: Rowlands
authors.forename: N W
authors.initials: NW
authors.lastname: Watkins