Journal of Statistical Physics

, Volume 113, Issue 1, pp 151–176

On the Derivation of a Density Functional Theory for Microphase Separation of Diblock Copolymers

  • Rustum Choksi
  • Xiaofeng Ren
Article

DOI: 10.1023/A:1025722804873

Cite this article as:
Choksi, R. & Ren, X. Journal of Statistical Physics (2003) 113: 151. doi:10.1023/A:1025722804873

Abstract

We consider here the problem of phase separation in copolymer melts. The Ohta–Kawasaki density functional theory gives rise to a nonlocal Cahn–Hilliard-like functional, promoting the use of ansatz-free mathematical tools for the investigation of minimizers. In this article we re-derive this functional as an offspring of the self-consistent mean field theory, connecting all parameters to the fundamental material parameters and clearly identifying all the approximations used. As a simple example of an ansatz-free investigation, we calculate the surface tension in the strong segregation limit, independent of any phase geometry.

microphase separationdiblock copolymersmean field theorydensity functional theory

Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • Rustum Choksi
    • 1
  • Xiaofeng Ren
    • 2
  1. 1.Department of MathematicsSimon Fraser UniversityCanada
  2. 2.Department of MathematicsUtah State UniversityUSA