Wilkinson, Michael; Guicharaz, Robin; Pradas, Marc and Pumir, Alain
(2015).
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(Version of Record)
Due to publisher licensing restrictions, this file is not available for public download |
| DOI (Digital Object Identifier) Link: | https://doi.org/10.1209/0295-5075/111/50005 |
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| Google Scholar: | Look up in Google Scholar |
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.
| Item Type: | Journal Item |
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| Copyright Holders: | 2015 EPLA |
| ISSN: | 1286-4854 |
| Extra Information: | 6 pp. |
| Academic Unit/School: | Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics Faculty of Science, Technology, Engineering and Mathematics (STEM) |
| Item ID: | 44441 |
| Depositing User: | Michael Wilkinson |
| Date Deposited: | 28 Sep 2015 08:11 |
| Last Modified: | 08 Dec 2018 08:50 |
| URI: | http://oro.open.ac.uk/id/eprint/44441 |
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