Analysis of Quantised Vortex Tangle

Springer | Physics | December 15. 2016 | ISBN-10: 3319485555 | 196 Pages | PDF | 12.25 MB

Authors: Taylor, Alexander John
Nominated as an outstanding PhD thesis by the University of Bristol, UK Presents a detailed introduction to an unusual and comparatively new kind of analysis for tangled systems Introduces readers to wave chaos as a generic model for statistics expressed in many different physical systems

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�C-including knotting�C-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.

Number of Pages
XVI, 197
Number of Illustrations and Tables
11 b/w illustrations, 84 illustrations in colour
Topics
Numerical and Computational Physics, Simulation
Mathematical Physics
Topology
Statistical Theory and Methods

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