2007/04/24 by Yves van Gennip, van Gennip, Yves, Peletier +1
Chemistry · Materials Science · #49N99 #82D60 #Advanced Physical and Chemical Molecular Interactions #Advanced Polymer Synthesis and Characterization #FOS: Physical sciences #Mathematical Physics (math-ph) #Polymer crystallization and properties
paper · pdf · doi:10.48550/arxiv.0704.3222
openalex publication_date 2007/04/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study a variational model for a diblock-copolymer/homopolymer blend. The energy functional is a sharp-interface limit of a generalisation of the Ohta-Kawasaki energy. In one dimension, on the real line and on the torus, we prove existence of minimisers of this functional and we describe in complete detail the structure and energy of stationary points. Furthermore we characterise the conditions under which the minimisers may be non-unique. In higher dimensions we construct lower and upper bounds on the energy of minimisers, and explicitly compute the energy of spherically symmetric configurations.