| Issue |
EPL
Volume 130, Number 2, April 2020
|
|
|---|---|---|
| Article Number | 24001 | |
| Number of page(s) | 7 | |
| Section | Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics | |
| DOI | https://doi.org/10.1209/0295-5075/130/24001 | |
| Published online | 22 May 2020 | |
Analytical solutions of Cahn-Hillard phase-field model for spinodal decomposition of a binary system
1 Department of Physics, Hatay Mustafa Kemal University - Hatay, Turkey
2 Department of Mathematics, Hatay Mustafa Kemal University - Hatay, Turkey
3 Department of Mathematics, Pamukkale University - Denizli, Turkey
(a) tozarali@gmail.com
(b) otasbozan@mku.edu.tr
(c) pau.dr.alikurt@gmail.com
Received: 27 January 2020
Accepted: 5 May 2020
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.
PACS: 44.05.+e – Analytical and numerical techniques / 02.90.+p – Other topics in mathematical methods in physics (restricted to new topics in section 02)
© EPLA, 2020
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