Analytical solutions of Cahn-Hillard phase-field model for spinodal decomposition of a binary system

TOZAR A., TAŞBOZAN O., Kurt A.

EPL, vol.130, no.2, 2020 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 130 Issue: 2
  • Publication Date: 2020
  • Doi Number: 10.1209/0295-5075/130/24001
  • Journal Name: EPL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Hatay Mustafa Kemal University Affiliated: Yes

Abstract

Spinodal decomposition is a very important and challenging issue not for only materials science but for also many other fields in science. Phase-field models, which have become very popular in recent years, are very promising for the evaluation of phase transformations such as spinodal decomposition. In this study, the Cahn-Hillard equation which is one of the most trending phase-field models is analytically solved by the double exp-function and the modified extended exp-function methods. Spatio-temporal energy and concentration distributions were evaluated by applying two of the ten obtained analytical solutions to the free energy equation. The results obtained were found to be successful in predicting spinodal decomposition as is expected from the Cahn-Hillard model.