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Wilkinson, Michael; Guicharaz, Robin; Pradas, Marc and Pumir, Alain
(2015).
DOI: https://doi.org/10.1209/0295-5075/111/50005
Abstract
We consider a dynamical system which is non-autonomous, has a stable attractor and which is perturbed by an additive noise. We establish that under some quite typical conditions, the intermittent fluctuations from the attractor have a probability distribution with power-law tails. We show that this results from a stochastic cascade of amplification of fluctuations due to transient periods of instability. The exponent of the power-law is interpreted as a negative fractal dimension, and is explicitly determined, using numerics or perturbation expansion, in the case of a model of colloidal particles in one-dimension.
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About
- Item ORO ID
- 44441
- Item Type
- Journal Item
- ISSN
- 1286-4854
- Extra Information
- 6 pp.
- Academic Unit or School
-
Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM) - Copyright Holders
- © 2015 EPLA
- Depositing User
- Michael Wilkinson