Diffuse interfaces and the general minimization of the mean field free energy

R. W. Hopper, D. R. Uhlmann

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

A mean field pair interaction theory of interfaces is presented. The theory is related to diffuse interface theories based on gradient energy expansions, but avoids certain mathematical approximations. The theory consists of obtaining a general expression for the mean field pair interaction free energy of the system and obtaining that composition profile which minimizes this free energy. A condition for the minimization is obtained from variational principles and solved numerically. The interface profiles are compared with those of standard diffuse interface theory and are found to be similar. The theory is a mean field theory because the local configurational entropy is taken as ideal.

Original languageEnglish (US)
Pages (from-to)77-85
Number of pages9
JournalJournal of Colloid And Interface Science
Volume47
Issue number1
DOIs
StatePublished - Apr 1974
Externally publishedYes

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Biomaterials
  • Surfaces, Coatings and Films
  • Colloid and Surface Chemistry

Fingerprint Dive into the research topics of 'Diffuse interfaces and the general minimization of the mean field free energy'. Together they form a unique fingerprint.

Cite this