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

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

2007-10-17

arxiv.org/abs/0710.3298v2

Physics

Mathematical Physics

40 pages, 34 Postscript figures; second version has some minor corrections; to appear in "Interfaces and Free Boundaries"

Scientific paper

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

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