A novel multi-component Allen–Cahn system for reducing the vacuum phenomenon at the triple junction
This paper introduces a novel multi-component Allen–Cahn (mcAC) system designed to minimize the vacuum phenomenon at the triple junction. The conventional mcAC system intrinsically shows an artificial vacuum phenomenon at the triple junction, which is the formation of voids or empty spaces where thr...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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AIP Publishing LLC
2025-03-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/5.0261749 |
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| author | Seokjun Ham Junxiang Yang Youngjin Hwang Jyoti Junseok Kim |
| author_facet | Seokjun Ham Junxiang Yang Youngjin Hwang Jyoti Junseok Kim |
| author_sort | Seokjun Ham |
| collection | DOAJ |
| description | This paper introduces a novel multi-component Allen–Cahn (mcAC) system designed to minimize the vacuum phenomenon at the triple junction. The conventional mcAC system intrinsically shows an artificial vacuum phenomenon at the triple junction, which is the formation of voids or empty spaces where three boundaries intersect. Therefore, it is crucial to develop innovative mcAC systems capable of reducing or eliminating such artificial vacuums. The mcAC system uses a concentration-dependent interfacial parameter that plays a key role in controlling the thickness of the interfacial transition layer and offers a promising model for controlling and minimizing the vacuum phenomenon. By using this concentration-dependent interfacial parameter, the proposed method aims to improve the stability and reliability of the system, which contributes to a more accurate representation of the physical phenomena involved. The significance of this work lies not only in resolving a common issue encountered in conventional mcAC systems but also in introducing a novel parameter that adds flexible adaptability to the multi-component system. This adaptability is essential for achieving more realistic simulations and predictions in various applications where multi-component systems are used. The findings presented in this paper provide the way for an improved understanding and manipulation of the mcAC equation and offer valuable insights for researchers and practitioners in fields such as materials science, physics, and engineering. |
| format | Article |
| id | doaj-art-09afd488a34546eab77c7e1fbeacd010 |
| institution | OA Journals |
| issn | 2158-3226 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj-art-09afd488a34546eab77c7e1fbeacd0102025-08-20T01:55:49ZengAIP Publishing LLCAIP Advances2158-32262025-03-01153035048035048-1010.1063/5.0261749A novel multi-component Allen–Cahn system for reducing the vacuum phenomenon at the triple junctionSeokjun Ham0Junxiang Yang1Youngjin Hwang2Jyoti3Junseok Kim4Department of Mathematics, Korea University, Seoul 02841, Republic of KoreaSchool of Computer and Engineering, Faculty of Innovation Engineering, Macau University of Science and Technology, Macao SAR, ChinaDepartment of Mathematics, Korea University, Seoul 02841, Republic of KoreaThe Institute of Basic Science, Korea University, Seoul 02841, Republic of KoreaDepartment of Mathematics, Korea University, Seoul 02841, Republic of KoreaThis paper introduces a novel multi-component Allen–Cahn (mcAC) system designed to minimize the vacuum phenomenon at the triple junction. The conventional mcAC system intrinsically shows an artificial vacuum phenomenon at the triple junction, which is the formation of voids or empty spaces where three boundaries intersect. Therefore, it is crucial to develop innovative mcAC systems capable of reducing or eliminating such artificial vacuums. The mcAC system uses a concentration-dependent interfacial parameter that plays a key role in controlling the thickness of the interfacial transition layer and offers a promising model for controlling and minimizing the vacuum phenomenon. By using this concentration-dependent interfacial parameter, the proposed method aims to improve the stability and reliability of the system, which contributes to a more accurate representation of the physical phenomena involved. The significance of this work lies not only in resolving a common issue encountered in conventional mcAC systems but also in introducing a novel parameter that adds flexible adaptability to the multi-component system. This adaptability is essential for achieving more realistic simulations and predictions in various applications where multi-component systems are used. The findings presented in this paper provide the way for an improved understanding and manipulation of the mcAC equation and offer valuable insights for researchers and practitioners in fields such as materials science, physics, and engineering.http://dx.doi.org/10.1063/5.0261749 |
| spellingShingle | Seokjun Ham Junxiang Yang Youngjin Hwang Jyoti Junseok Kim A novel multi-component Allen–Cahn system for reducing the vacuum phenomenon at the triple junction AIP Advances |
| title | A novel multi-component Allen–Cahn system for reducing the vacuum phenomenon at the triple junction |
| title_full | A novel multi-component Allen–Cahn system for reducing the vacuum phenomenon at the triple junction |
| title_fullStr | A novel multi-component Allen–Cahn system for reducing the vacuum phenomenon at the triple junction |
| title_full_unstemmed | A novel multi-component Allen–Cahn system for reducing the vacuum phenomenon at the triple junction |
| title_short | A novel multi-component Allen–Cahn system for reducing the vacuum phenomenon at the triple junction |
| title_sort | novel multi component allen cahn system for reducing the vacuum phenomenon at the triple junction |
| url | http://dx.doi.org/10.1063/5.0261749 |
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