Analysis of Quantised Vortex Tangle (Springer Theses) - Hardcover

Buch 224 von 797: Springer Theses

Taylor, Alexander John

 
9783319485553: Analysis of Quantised Vortex Tangle (Springer Theses)
Hardcover
ISBN 10: 3319485555 ISBN 13: 9783319485553
Verlag: Springer, 2016

Inhaltsangabe

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. 

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Von der hinteren Coverseite

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. 

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Verlag
Springer
Erscheinungsdatum
2016
Sprache
Englisch
ISBN 10 
3319485555
ISBN 13 
9783319485553
Einband
Gebundene Ausgabe
Auflage
1
Anzahl der Seiten
213
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Darmstadt
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Deutschland

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ISBN 10:  3319839713 ISBN 13:  9783319839714
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Softcover