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Analysis of quantised vortex tangle

Taylor, Alexander John.

Analysis of quantised vortex tangle

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Analysis of quantised vortex tangle/ by Alexander John Taylor.
作者:	Taylor, Alexander John.
出版者:	Cham :Springer International Publishing : : 2017.,
面頁冊數:	xvi, 197 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Wave mechanics. -
電子資源:	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:

795691
Wave mechanics.

LC Class. No.: QC174.2

Dewey Class. No.: 530.124

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245 1 0 $a Analysis of quantised vortex tangle $h [electronic resource] / $c by Alexander John Taylor.
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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.
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