CaltechAUTHORS
  A Caltech Library Service

Ingredients of a theory of convective textures close to onset

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

[img]
Preview
PDF
See Usage Policy.

1544Kb

Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:CROpra82

Abstract

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.


Item Type:Article
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.
Record Number:CaltechAUTHORS:CROpra82
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:CROpra82
Alternative URL:http://dx.doi.org/10.1103/PhysRevA.25.1065
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5642
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:26 Oct 2006
Last Modified:26 Dec 2012 09:14

Repository Staff Only: item control page