Line defects are one-dimensional phase singularities (forming knots and links) that arise in a variety of physical systems. In these systems, isophase surfaces (Seifert surfaces) have the phase defects as boundary, and these Seifert surfaces define a framing of the normal bundle of each link component. We define the individual helicity for each component of a link singularity, and prove that each individual helicity is zero if and only if there exists a Seifert framing for the link. We extend these results to multi-armed defects. We prove that under anti-parallel reconnection of defect strands total twist is conserved.

De Witt Sumners, L., Cruz-White, I., Ricca, R. (2021). Zero helicity of Seifert framed defects. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 54(29) [10.1088/1751-8121/abf45c].

Zero helicity of Seifert framed defects

Ricca, R
Membro del Collaboration Group
2021

Abstract

Line defects are one-dimensional phase singularities (forming knots and links) that arise in a variety of physical systems. In these systems, isophase surfaces (Seifert surfaces) have the phase defects as boundary, and these Seifert surfaces define a framing of the normal bundle of each link component. We define the individual helicity for each component of a link singularity, and prove that each individual helicity is zero if and only if there exists a Seifert framing for the link. We extend these results to multi-armed defects. We prove that under anti-parallel reconnection of defect strands total twist is conserved.
Articolo in rivista - Articolo scientifico
helicity; linking numbers; Seifert framing; phase defects; optical vortices; reconnection; excitable media;
English
De Witt Sumners, L., Cruz-White, I., Ricca, R. (2021). Zero helicity of Seifert framed defects. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 54(29) [10.1088/1751-8121/abf45c].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/358800
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