Stability of frozen waves in the modified Cahn-Hilliard model

E. S. Benilov; W. T. Lee; R. O. Sedakov

doi:10.1103/PhysRevE.87.032138

Stability of frozen waves in the modified Cahn-Hilliard model

E. S. Benilov, W. T. Lee, R. O. Sedakov

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Abstract

We examine the existence and stability of frozen waves in diblock copolymers with local conservation of the order parameter, which are described by the modified Cahn-Hilliard model. It is shown that a range of stable waves exists and each can emerge from a "general" initial condition (not only the one with the lowest density of free energy). We discuss the implications of these results for the use of block copolymers in templating nanostructures.

Original language	English
Article number	032138
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	87
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevE.87.032138
Publication status	Published - 18 Mar 2013
Externally published	Yes

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abstract = "We examine the existence and stability of frozen waves in diblock copolymers with local conservation of the order parameter, which are described by the modified Cahn-Hilliard model. It is shown that a range of stable waves exists and each can emerge from a {"}general{"} initial condition (not only the one with the lowest density of free energy). We discuss the implications of these results for the use of block copolymers in templating nanostructures.",

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AU - Lee, W. T.

AU - Sedakov, R. O.

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N2 - We examine the existence and stability of frozen waves in diblock copolymers with local conservation of the order parameter, which are described by the modified Cahn-Hilliard model. It is shown that a range of stable waves exists and each can emerge from a "general" initial condition (not only the one with the lowest density of free energy). We discuss the implications of these results for the use of block copolymers in templating nanostructures.

AB - We examine the existence and stability of frozen waves in diblock copolymers with local conservation of the order parameter, which are described by the modified Cahn-Hilliard model. It is shown that a range of stable waves exists and each can emerge from a "general" initial condition (not only the one with the lowest density of free energy). We discuss the implications of these results for the use of block copolymers in templating nanostructures.

KW - Frozen waves

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KW - Diblock copolymers

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Stability of frozen waves in the modified Cahn-Hilliard model

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