Stability of monolayers and bilayers in a copolymer-homopolymer blend model | Zendy

Yves van Gennip | Zendy; Mark A. Peletier | Zendy

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Stability of monolayers and bilayers in a copolymer-homopolymer blend model

Author(s) -

Yves van Gennip,

Mark A. Peletier

Publication year - 2009

Publication title -

interfaces and free boundaries mathematical analysis computation and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.964

H-Index - 39

eISSN - 1463-9971

pISSN - 1463-9963

DOI - 10.4171/ifb/214

Subject(s) - copolymer , monolayer , materials science , polymer chemistry , polymer science , chemical engineering , polymer , composite material , nanotechnology , engineering

We study the stability of layered structures in a variational model fordiblock copolymer-homopolymer blends. The main step consists of calculating thefirst and second derivative of a sharp-interface Ohta-Kawasaki energy forstraight mono- and bilayers. By developing the interface perturbations in aFourier series we fully characterise the stability of the structures in termsof the energy parameters. In the course of our computations we also give the Green's function for theLaplacian on a periodic strip and explain the heuristic method by which wefound it.

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