JournalsifbVol. 11, No. 3pp. 447–474

Uniform energy and density distribution: diblock copolymers’ functional

  • Emanuele Nunzio Spadaro

    Universität Zürich, Switzerland
Uniform energy and density distribution: diblock copolymers’ functional cover
Download PDF

Abstract

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 in [1] where analogous results are proved for the sharp interface limit of the functional considered.

Cite this article

Emanuele Nunzio Spadaro, Uniform energy and density distribution: diblock copolymers’ functional. Interfaces Free Bound. 11 (2009), no. 3, pp. 447–474

DOI 10.4171/IFB/218