Cross, M. C. (1982) Ingredients of a theory of convective textures close to onset. Physical Review A, 25 (2). pp. 1065-1076. ISSN 0556-2791 http://resolver.caltech.edu/CaltechAUTHORS:CROpra82
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The patterns of convection to be expected in laterally large Rayleigh-Bénard cells close to onset are analyzed using the amplitude equation approach of Newell and Whitehead and Segel. This equation allows the introduction of a Lyapunov functional, which may be used to order the stability of various patterns. Two competing effects are identified: a surface effect that favors rolls approaching the sidewalls normally, and so tends to produce O(1) rotations of the roll orientation over the cell, and bulk effects that favor straight parallel rolls. The competition between these effects, and the role of defects in the structure, are studied in some simple examples.
|Additional Information:||©1982 The American Physical Society Received 20 August 1981 The author thanks Daniel S. Fisher, Eric Siggia, and Annette Zipelius for useful conversations on various aspects of this work.|
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|Deposited On:||26 Oct 2006|
|Last Modified:||26 Dec 2012 09:14|
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