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• W2005550079 endingPage "1845" @default.
• W2005550079 startingPage "1834" @default.
• W2005550079 abstract "Finite domains of a Langmuir monolayer in a phase with tilted molecules can be modeled by a simple elastic free energy of an XY order parameter with isotropic and anisotropic line tension terms. The domains can and often do contain nontrivial textures, which in turn influence the shape of the domains. Herein we investigate the properties of a simplified isotropic model with a single elastic constant. For circular domains a first-order phase transition is found between two distinct textures: an exterior defect (or ``virtual boojum'') texture, and an interior defect texture. Starting with a circular domain and either of these two textures as a ground state, we find shape instabilities develop that depend on the elastic constants and line tensions in the simplified model. In both cases a necessary but not sufficient condition for the onset of shape instabilities is the possibility for a local negative effective line tension to develop from the anisotropic line tension term." @default.
• W2005550079 created "2016-06-24" @default.
• W2005550079 creator A5023137311 @default.
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• W2005550079 date "1999-02-01" @default.
• W2005550079 modified "2023-09-23" @default.
• W2005550079 title "Stability of texture and shape of circular domains of Langmuir monolayers" @default.
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• W2005550079 doi "https://doi.org/10.1103/physreve.59.1834" @default.
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