Uniform energy and density distribution: diblock copolymers' functional
type: Item
instance of: scholarly article
title: Uniform energy and density distribution: diblock copolymers' functional
zbMATH Open document ID: 1180.35583
DOI: 10.4171/IFB/218
author: Emanuele Spadaro
published in: Interfaces and Free Boundaries
publication date: 2010-01-08T00:00:00Z
full work available at URL: http://www.ems-ph.org/journals/show_abstract.php
review text: Summary: We study a nonlocal variational problem arising in diblock copolymers models, whose energy is given by the Cahn-Hilliard functional plus a long-range interaction term. We prove that minimizers develop uniform energy and density distributions, thus justifying partially the highly regular microphase separation observed in diblock copolymers' melts. We also give a new proof of the scaling law for the minimum energy. This work extends the techniques introduced by \textit{G. Alberti, R. Choksi} and \textit{F. Otto} [J. Am. Math. Soc. 22, 569--605 (2009; doi:10.1090/S0894-0347-08-00622-X)] where analogous results are proved for the sharp interface limit of the functional considered.
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 82C20
Mathematics Subject Classification ID: 82D60
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 5654752
zbMATH Keywords: diblock copolymers model
zbMATH Keywords: Cahn-Hilliard functional
zbMATH Keywords: uniform energy distribution
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5654752