Click Here to Download: https://ouo.io/Wck19P Analysis of Quantised Vortex Tangle By: Alexander John Taylor Publisher: Springer Print ISBN: 9783319485553, 3319485555 eText ISBN: 9783319485560, 3319485563 Copyright year: 2017 Format: PDF Available from $ 109.00 USD SKU 9783319485560 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.
