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

University of Limerick

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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 - Benilov, E. S.

AU - Lee, W. T.

AU - Sedakov, R. O.

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Y1 - 2013/3/18

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

KW - Cahn-Hilliard model

KW - Diblock copolymers

UR - https://www.scopus.com/pages/publications/84875549131

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DO - 10.1103/PhysRevE.87.032138

M3 - Article

AN - SCOPUS:84875549131

SN - 1539-3755

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JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

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IS - 3

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ER -

Stability of frozen waves in the modified Cahn-Hilliard model

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