Second variation of liquid crystal energy at x/|x

A new and simplified proof of the sign of the second variation of the Oseen–Frank energy in terms of the elastic constants is given. The proof relies on the frame indifference of the energy and a new expression for the second invariant null lagrangian as a surface integral.

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Bibliographic Details
Published in:Proceedings of the Royal Society. A, Mathematical and physical sciences Mathematical and physical sciences, 1992-05, Vol.437 (1900), p.475-487
Main Authors: Kinderlehrer, David, Ou, Biao
Format: Article
Language:English
Subjects:
Ambivalence
Classical and quantum physics: mechanics and fields
Classical mechanics of continuous media: general mathematical aspects
Curl
Exact sciences and technology
Lagrangian function
Liquid crystals
Logical proofs
Mathematical constants
Mathematics
Physics
Rapid Communications
Unit vectors
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Description
Summary:A new and simplified proof of the sign of the second variation of the Oseen–Frank energy in terms of the elastic constants is given. The proof relies on the frame indifference of the energy and a new expression for the second invariant null lagrangian as a surface integral.
ISSN:0962-8444
2053-9177
DOI:10.1098/rspa.1992.0074