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Concentrically layered energy equilibria of the di-block copolymer problem

Published online by Cambridge University Press:  28 November 2002

XIAOFENG REN  and
JUNCHENG WEI
XIAOFENG REN
Affiliation:
Department of Mathematics and Statistics, Utah State University, Logan, UT 84322-3900, USA
JUNCHENG WEI
Affiliation:
Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong
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Abstract

We prove the existence of energy equilibria of the di-block copolymer problem in the unit disk. They consist of concentrically layered micro-domains rich in one of the two monomer building units. We construct them by solving the proper singular limit of the free energy functional. The same limit also explains how under a dynamic law of the free energy, circular interfaces of non-equilibria may move to the origin and vanish, or collapse to each other, thereby reducing the number of layers.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 13 , Issue 5 , October 2002 , pp. 479 - 496
Copyright
2002 Cambridge University Press

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