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Analysis of quantised vortex tangle

Taylor, Alexander John.

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Analysis of quantised vortex tangle

Record Type:	Electronic resources : Monograph/item
Title/Author:	Analysis of quantised vortex tangle/ by Alexander John Taylor.
Author:	Taylor, Alexander John.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	xvi, 197 p. :ill., digital ;24 cm.
[NT 15003449]:	Introduction -- Numerical Methods -- Geometry and Scaling of Vortex Lines -- Topological Methods -- Knotting and Linking of Vortex Lines -- Conclusions.
Contained By:	Springer eBooks
Subject:	Wave mechanics. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-48556-0
ISBN:	9783319485560

Analysis of quantised vortex tangle
Taylor, Alexander John.

Analysis of quantised vortex tangle[electronic resource] /by Alexander John Taylor. - Cham :Springer International Publishing :2017. - xvi, 197 p. :ill., digital ;24 cm. - Springer theses,2190-5053. - Springer theses..

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

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.

ISBN: 9783319485560

Standard No.: 10.1007/978-3-319-48556-0doiSubjects--Topical Terms:

560128
Wave mechanics.

LC Class. No.: QC174.2

Dewey Class. No.: 530.124

Analysis of quantised vortex tangle
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100 1 $a Taylor, Alexander John. $3 3218825
245 1 0 $a Analysis of quantised vortex tangle $h [electronic resource] / $c by Alexander John Taylor.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a xvi, 197 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer theses, $x 2190-5053
505 0 $a Introduction -- Numerical Methods -- Geometry and Scaling of Vortex Lines -- Topological Methods -- Knotting and Linking of Vortex Lines -- Conclusions.
520 $a 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.
650 0 $a Wave mechanics. $3 560128
650 1 4 $a Physics. $3 516296
650 2 4 $a Numerical and Computational Physics, Simulation. $3 2209853
650 2 4 $a Mathematical Physics. $3 1542352
650 2 4 $a Topology. $3 522026
650 2 4 $a Statistical Theory and Methods. $3 891074
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