Volume 130, Number 2, April 2020
|Number of page(s)||7|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|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
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.