Analysis of Quantised Vortex Tangle

Softcover Nachdruck of the original 1. Auflage 2017
ISBN: 978-3-319-83971-4
Verlag: Springer International Publishing

Buch, Englisch, 197 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 335 g

Reihe: Springer Theses

In this thesis, the author develops numerical techniques for tracking and characterising the convoluted nodal lines in three-dimensional space, analysing their geometry on the small scale, as well as their global fractality and topological complexity---including knotting---on the large scale. The work is highly visual, and illustrated with many beautiful diagrams revealing this unanticipated aspect of the physics of waves. Linear superpositions of waves create interference patterns, which means in some places they strengthen one another, while in others they completely cancel each other out. This latter phenomenon occurs on 'vortex lines' in three dimensions. In general wave superpositions modelling e.g. chaotic cavity modes, these vortex lines form dense tangles that have never been visualised on the large scale before, and cannot be analysed mathematically by any known techniques.

Zielgruppe

Research

Autoren/Hrsg.

Taylor, Alexander John

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Topologie
• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik

Inhaltsverzeichnis

Introduction.- Numerical Methods.- Geometry and Scaling of Vortex Lines.- Topological Methods.- Knotting and Linking of Vortex Lines.- Conclusions.