Analysis of Quantised Vortex Tangle

• Main Author: Taylor, Alexander John (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Springer Theses, Recognizing Outstanding Ph.D. Research,
• Subjects: Physics.; Topology.; Mathematical physics.; Statistics.; Numerical and Computational Physics, Simulation.; Mathematical Physics.; Statistical Theory and Methods.

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 wo...

Table of Contents:

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