Exactly solvable sandpile with fractal avalanching |
| |
Authors: | Helander P Chapman S C Dendy R O Rowlands G Watkins N W |
| |
Institution: | EURATOM/UKAEA Fusion Association, Culham Science Centre, Abingdon OX14 3DB, United Kingdom. |
| |
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"). |
| |
Keywords: | |
本文献已被 PubMed 等数据库收录! |
|