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Traveling and Standing Waves in Binary-Fluid Convection in Finite Geometries

Cross, M. C. (1986) Traveling and Standing Waves in Binary-Fluid Convection in Finite Geometries. Physical Review Letters, 57 (23). pp. 2935-2938. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:CROprl86

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Abstract

The effect of finite geometry on the competition between traveling waves and standing waves in systems with a Hopf bifurcation to a state with spatial structure is considered in the linear and weakly nonlinear regimes. The spatial structure observed by Kolodner et al. in binary-fluid convection is explained in terms of the reflection of the linear traveling waves. The reflection coefficient is calculated, and is found to go to zero as the frequency of the waves becomes small. The pattern expected in a saturated nonlinear state is discussed.


Item Type:Article
Additional Information:©1986 The American Physical Society Received 30 June 1986 The author thanks A. Karma for useful discussions. This work was supported under Division of Materials Research Grant No. DMR-8412543 by the National Science Foundation.
Record Number:CaltechAUTHORS:CROprl86
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:CROprl86
Alternative URL:http://dx.doi.org/10.1103/PhysRevLett.57.2935
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2666
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:15 Apr 2006
Last Modified:18 Sep 2014 18:11

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