Work

Geometrically constrained walls in three dimensions

Year: 2024

Type: preprint

Abstract: We study geometrically constrained magnetic walls in a three dimensional geometry where two bulks are connected by a thin neck. Without imposing any symmetry assumption on the domain, we investigate the scaling of the energy as the size of the neck vanishes. We identify five significant scaling regimes, for all of which we characterise the energy scaling and identify the asymptotic behaviour of the domain wall. Finally, we notice the emergence of sub-regimes that are not present in the previous works due to restrictive symmetry assumptions.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2412.04161

Authors: Cristoferi, Riccardo, Fissore, Gabriele, Morandotti, Marco

Institutions: Radboud University Nijmegen, Tosho (Japan), Politecnico di Torino

Language: English

Topic: Magnetic properties of thin films

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Politecnico di Torino, European Commission, Radboud Universiteit, Nederlandse Organisatie voor Wetenschappelijk Onderzoek, Ministero dell'Università e della Ricerca

Awards: MATHEMAMI - Mathematical Analysis of phase Transitions in HEterogeneous MAterials with Materials Inclusions, G2701445157, G2929374385, G4488344675, G5245466801, G598502428, G6527354719, G7332748617, G972786147

OpenAlex ID: W4405095317

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