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Minimum-action paths for wave-number selection in nonequilibrium systems

Qiao, Liyan and Zheng, Zhigang and Cross, M. C. (2016) Minimum-action paths for wave-number selection in nonequilibrium systems. Physical Review E, 93 (4). Art. No. 042204. ISSN 2470-0045. https://resolver.caltech.edu/CaltechAUTHORS:20160429-145516593

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Abstract

The problem of wave-number selections in nonequilibrium pattern-forming systems in the presence of noise is investigated. The minimum-action method is proposed to study the noise-induced transitions between the different spatiotemporal states by generalizing the traditional theory previously applied in low-dimensional dynamical systems. The scheme is shown as an example in the stabilized Kuramoto-Sivashinsky equation. The present method allows us to conveniently find the unique noise selected state, in contrast to previous work using direct simulations of the stochastic partial differential equation, where the constraints of the simulation only allow a narrow band to be determined.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevE.93.042204DOIArticle
http://journals.aps.org/pre/abstract/10.1103/PhysRevE.93.042204PublisherArticle
Additional Information:© 2016 American Physical Society. Received 10 May 2014; revised manuscript received 7 December 2015; published 12 April 2016. This work has been financially supported by grants from the National Natural Science Foundation of China (Grant No. 11475022) and the Scientific Research Fund of Huaqiao University. The support provided by China Scholarship Council under Grant No. 2010604108 during a visit of L.Q. to Caltech is acknowledged.
Funders:
Funding AgencyGrant Number
National Natural Science Foundation of China11475022
Huaqiao UniversityUNSPECIFIED
China Scholarship Council2010604108
Issue or Number:4
Record Number:CaltechAUTHORS:20160429-145516593
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20160429-145516593
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:66559
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:30 Apr 2016 21:17
Last Modified:03 Oct 2019 09:57

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