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Stability of the one-dimensional kink solution to a general Cahn-Hilliard equation
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UNSPECIFIED (1996) Stability of the one-dimensional kink solution to a general Cahn-Hilliard equation. PHYSICAL REVIEW E, 54 (6). pp. 6102-6108. ISSN 1063-651X.
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Abstract
We give an analysis of the Cahn-Hilliard equation with a general potential, which admits a one-dimensional kink solution. We investigate the stability of this equilibrium solution to small perpendicular perturbations of variable wave numberic. We develop a perturbation theory for small and large k and apply the general results to two commonly used forms for the potential. We go on and use a Pade approximant to describe the full dispersion relation, and for the particular potentials it is shown that the kink solution is stable for all k.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QC Physics | ||||
Journal or Publication Title: | PHYSICAL REVIEW E | ||||
Publisher: | AMERICAN PHYSICAL SOC | ||||
ISSN: | 1063-651X | ||||
Official Date: | December 1996 | ||||
Dates: |
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Volume: | 54 | ||||
Number: | 6 | ||||
Number of Pages: | 7 | ||||
Page Range: | pp. 6102-6108 | ||||
Publication Status: | Published |
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