Instabilities and pattern formation in a generalized Cahn-Hilliard model with 2+1 components
Résumé
The dynamics of phase separation of co-polymers is investigate theoretically in the case where the bridging between the heteropolymers is realized by a surfactant. The Cahn-Hilliard-Oono equation which describes the dynamics of the polymers is here coupled with a di¤usion equation for the surfactant which has an a¢ nity for the interfacial region of the polymer blend. As a result, we …nd a dual localization of the interfaces of the di¤erent species. We investigate in particular, in detail the onset of the phase transition dynamics associated with these coupled di¤usion equations, both analytically and numerically.
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