Analysis of Quantised Vortex Tangle (Springer Theses) - Softcover

Book 224 of 797: Springer Theses

Taylor, Alexander John

 
9783319839714: Analysis of Quantised Vortex Tangle (Springer Theses)
Softcover
ISBN 10: 3319839713 ISBN 13: 9783319839714
Publisher: Springer, 2018

Synopsis

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. 

"synopsis" may belong to another edition of this title.

From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2018
Language
English
ISBN 10 
3319839713
ISBN 13 
9783319839714
Binding
Paperback
Number of pages
216

Other Popular Editions of the Same Title

9783319485553: Analysis of Quantised Vortex Tangle (Springer Theses)

Featured Edition

ISBN 10:  3319485555 ISBN 13:  9783319485553
Publisher: Springer, 2016
Hardcover