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Verfasst von:Rüland, Angkana [VerfasserIn]   i
 Tribuzio, Antonio [VerfasserIn]   i
Titel:On scaling laws for multi-well nucleation problems without gauge invariances
Verf.angabe:Angkana Rüland & Antonio Tribuzio
E-Jahr:2023
Jahr:07 January 2023
Umfang:41 S.
Fussnoten:Gesehen am 13.02.2022
Titel Quelle:Enthalten in: Journal of nonlinear science
Ort Quelle:New York, NY : Springer, 1991
Jahr Quelle:2023
Band/Heft Quelle:33(2023), Artikel-ID 25, Seite 1-41
ISSN Quelle:1432-1467
Abstract:In this article, we study scaling laws for simplified multi-well nucleation problems without gauge invariances which are motivated by models for shape-memory alloys. Seeking to explore the role of the order of lamination on the energy scaling for nucleation processes, we provide scaling laws for various model problems in two and three dimensions. In particular, we discuss (optimal) scaling results in the volume and the singular perturbation parameter for settings in which the surrounding parent phase is in the first-, the second- and the third-order lamination convex hull of the wells of the nucleating phase. Furthermore, we provide a corresponding result for the setting of an infinite order laminate which arises in the context of the Tartar square. In particular, our results provide isoperimetric estimates in situations in which strong nonlocal anisotropies are present.
DOI:doi:10.1007/s00332-022-09879-6
URL:kostenfrei: Volltext: https://doi.org/10.1007/s00332-022-09879-6
 kostenfrei: Volltext: https://link.springer.com/10.1007/s00332-022-09879-6
 DOI: https://doi.org/10.1007/s00332-022-09879-6
Datenträger:Online-Ressource
Sprache:eng
K10plus-PPN:1834609321
Verknüpfungen:→ Zeitschrift
 
 
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