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Analysis of Quantised Vortex Tangle

Name: Analysis of Quantised Vortex Tangle
Brand: Springer International Publishing AG
SKU: 20119100
Price: 127.06 EUR
Availability: InStock
Author: Alexander John Taylor
ISBN: 9783319839714

Alexander John Taylor

Language

English

Book Paperback

Libristo code: 20119100

Publishers Springer International Publishing AG, July 2018

In this thesis, the author develops numerical techniques for tracking and characterising the convolu... Full description

Libristo code: 20119100

308 b

127.06 €

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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.