Schmuck, M.; Pradas, M.; Kalliadasis, S. and Pavliotis, G. A.
(2013).
| DOI (Digital Object Identifier) Link: | https://doi.org/10.1103/PhysRevLett.110.244101 |
|---|---|
| Google Scholar: | Look up in Google Scholar |
Abstract
We present a new methodology for studying non-Hamiltonian nonlinear systems based on an information theoretical extension of a renormalization group technique using a modified maximum entropy principle. We obtain a rigorous dimensionally reduced description for such systems. The neglected degrees of freedom by this reduction are replaced by a systematically defined stochastic process under a constraint on the second moment. This then forms the basis of a computationally efficient method. Numerical computations for the generalized Kuramoto-Sivashinsky equation support our method and reveal that the long-time underlying stochastic process of the fast (unresolved) modes obeys a universal distribution that does not depend on the initial conditions and which we rigorously derive by the maximum entropy principle.
| Item Type: | Journal Item |
|---|---|
| Copyright Holders: | 2013 American Physical Society |
| ISSN: | 1079-7114 |
| Extra Information: | 5 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: | 41219 |
| Depositing User: | Marc Pradas |
| Date Deposited: | 03 Nov 2014 09:39 |
| Last Modified: | 07 Dec 2018 10:26 |
| URI: | http://oro.open.ac.uk/id/eprint/41219 |
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