A novel modified Modica-Mortola equation with a phase-dependent interfacial function
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Wang, Jian | - |
dc.contributor.author | Kim, Junseok | - |
dc.date.accessioned | 2022-05-09T14:41:44Z | - |
dc.date.available | 2022-05-09T14:41:44Z | - |
dc.date.created | 2022-05-09 | - |
dc.date.issued | 2022-03-10 | - |
dc.identifier.issn | 0217-9792 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/140840 | - |
dc.description.abstract | In this study, we propose a novel modified Modica-Mortola (MM) equation with a phase-dependent interfacial function. The classical MM functional has a multiple-well potential and the derived classical MM equation allows multiple local minima. The MM equation has a good property compared to its counterpart vector-valued Allen-Cahn (AC) system because the MM equation consists of a single equation. In the MM equation, one phase-field can represent multiple states. However, with a constant interfacial parameter, the interfacial transition layer is getting wider as the jump across two adjacent phases is higher. To overcome this unwanted phenomenon, we propose a phase-dependent interfacial function which has smaller value if gradient of phase-field is larger. We present several computational experiments to demonstrate the superior performance of the proposed modified MM equation over the conventional MM equation. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | WORLD SCIENTIFIC PUBL CO PTE LTD | - |
dc.subject | ALLEN-CAHN EQUATION | - |
dc.subject | OPERATOR-SPLITTING METHOD | - |
dc.subject | SEMIIMPLICIT SCHEME | - |
dc.subject | RECONSTRUCTION | - |
dc.title | A novel modified Modica-Mortola equation with a phase-dependent interfacial function | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Junseok | - |
dc.identifier.doi | 10.1142/S0217979222500552 | - |
dc.identifier.scopusid | 2-s2.0-85127879952 | - |
dc.identifier.wosid | 000783806500002 | - |
dc.identifier.bibliographicCitation | INTERNATIONAL JOURNAL OF MODERN PHYSICS B, v.36, no.06 | - |
dc.relation.isPartOf | INTERNATIONAL JOURNAL OF MODERN PHYSICS B | - |
dc.citation.title | INTERNATIONAL JOURNAL OF MODERN PHYSICS B | - |
dc.citation.volume | 36 | - |
dc.citation.number | 06 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Physics | - |
dc.relation.journalWebOfScienceCategory | Physics, Applied | - |
dc.relation.journalWebOfScienceCategory | Physics, Condensed Matter | - |
dc.relation.journalWebOfScienceCategory | Physics, Mathematical | - |
dc.subject.keywordPlus | ALLEN-CAHN EQUATION | - |
dc.subject.keywordPlus | OPERATOR-SPLITTING METHOD | - |
dc.subject.keywordPlus | SEMIIMPLICIT SCHEME | - |
dc.subject.keywordPlus | RECONSTRUCTION | - |
dc.subject.keywordAuthor | Modica-Mortola functional | - |
dc.subject.keywordAuthor | interfacial function | - |
dc.subject.keywordAuthor | phase-field method | - |
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