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.
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Surfaces, Coatings and Films
- Colloid and Surface Chemistry