Published April 2016
| Published
Journal Article
Open
Minimum-action paths for wave-number selection in nonequilibrium systems
- Creators
- Qiao, Liyan
- Zheng, Zhigang
- Cross, M. C.
Chicago
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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.
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.Attached Files
Published - PhysRevE.93.042204.pdf
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PhysRevE.93.042204.pdf
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Additional details
- Eprint ID
- 66559
- Resolver ID
- CaltechAUTHORS:20160429-145516593
- National Natural Science Foundation of China
- 11475022
- Huaqiao University
- China Scholarship Council
- 2010604108
- Created
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2016-04-30Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field