Please use this identifier to cite or link to this item:
https://hdl.handle.net/11147/11574
Title: | Effects of Interphase Boundaries in Ginzburg-Landau One-Dimensional Model of Two-Phase States in Clamped Systems | Authors: | Levanyuk, Arkady P. Minyukov, Sergey A. Mısırlıoğlu, İbrahim Burç Okatan, Mahmut Barış |
Keywords: | Temperature distribution Latent heat |
Publisher: | American Institute of Physics | Abstract: | Previous Landau-type models of two-phase state formation in clamped systems whose material exhibits first-order phase transitions in free state neglects the existence of interphase boundaries. Here, we take them into account in the framework of a Ginzburg-Landau one-dimensional model to study the dependence of characteristics of the two-phase state on system size. Unlike earlier works, we find that the transition to the two-phase state from both the symmetrical and nonsymmetrical phases is not continuous but abrupt. For a one-dimensional system with length L studied in this work, we show that the formation of two-phase state begins with a region whose size is proportional to root L. The latent heat of the transition is also proportional to root L -> infinity, recovering the earlier result for infinite systems. The temperature width of the two-phase region decreases with decreasing of L, but we are unable to answer the question about the critical length for two-phase state formation because the approximation used in analytical calculations is valid for sufficiently large L. A region of small values of L was studied partially to reveal the limits of validity of the analytical calculations. The main physical results are also obtainable within a simple approximation that considers the energy of interphase boundary as a fixed value, neglecting its temperature dependence and the thickness of the boundary. A more involved but consistent treatment provides the same results within the accepted approximation and sheds light on the reason of validity of the simplified approach. | URI: | https://doi.org/10.1063/5.0029144 https://hdl.handle.net/11147/11574 |
ISSN: | 0021-8979 1089-7550 |
Appears in Collections: | Materials Science and Engineering / Malzeme Bilimi ve Mühendisliği Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
Files in This Item:
File | Size | Format | |
---|---|---|---|
5.0029144.pdf | 1.65 MB | Adobe PDF | View/Open |
CORE Recommender
SCOPUSTM
Citations
2
checked on Mar 28, 2025
WEB OF SCIENCETM
Citations
3
checked on Mar 29, 2025
Page view(s)
626
checked on Mar 31, 2025
Download(s)
4
checked on Mar 31, 2025
Google ScholarTM
Check
Altmetric
Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.