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Schmuck, M.; Pradas, M.; Kalliadasis, S. and Pavliotis, G. A.
(2013).
DOI: https://doi.org/10.1103/PhysRevLett.110.244101
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.
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About
- Item ORO ID
- 41219
- Item Type
- Journal Item
- ISSN
- 1079-7114
- Extra Information
- 5 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
- © 2013 American Physical Society
- Depositing User
- Marc Pradas