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Phase equilibria and the Landau—Ginzburg functional

✍ Scribed by E.B. Nauman; Nitash P. Balsara

Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
827 KB
Volume
45
Category
Article
ISSN
0378-3812

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## Abstract Spatially periodic equilibria __A__(__X, T__) = √1 − __q__^2^ __e__ are the locally preferred planform for the Ginzburg‐Landau equation ∂~__T__~__A__ = ∂^2^~__X__~__A__ + __A__ − __A__|__A__|^2^. To describe the global spatial behavior, an evolution equation for the local wave number __

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We describe a method for approximating critical points of the Ginzburg-Landau functional. Several numerical methods for implementing the basic algorithm are compared for efficiency on a simple test problem. We also present test results describing a sequence of critical points associated with increas