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Titlebook: Analysis of Quantised Vortex Tangle; Alexander John Taylor Book 2017 Springer International Publishing AG 2017 Filamentary Tangle.Wave Cha

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发表于 2025-3-21 18:35:03 | 显示全部楼层 |阅读模式
期刊全称Analysis of Quantised Vortex Tangle
影响因子2023Alexander John Taylor
视频video
发行地址Nominated as an outstanding PhD thesis by the University of Bristol, UK.Presents a detailed introduction to an unusual and comparatively new kind of analysis for tangled systems.Introduces readers to
学科分类Springer Theses
图书封面Titlebook: Analysis of Quantised Vortex Tangle;  Alexander John Taylor Book 2017 Springer International Publishing AG 2017 Filamentary Tangle.Wave Cha
影响因子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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发表于 2025-3-21 20:19:34 | 显示全部楼层
Juliet Lodge (Senior Lecturer in Politics)simple to approximately locate vortices in a plane, efficiently tracking their threedimensional conformations is more challenging, as it is necessary to accurately capture features such as their local topology even where they approach closely. We describe here the numerical techniques used to do so
发表于 2025-3-22 01:17:32 | 显示全部楼层
PDES-STEP Standards: A Questionar statistical values. In this Chapter we introduce and apply several of these standard measures, relating the statistics of the vortices to those of random walks, and comparing with other systems of filamentary tangle. These measures include densities, curvatures and torsions, whose behaviours can
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发表于 2025-3-22 16:18:06 | 显示全部楼层
Manufacturing Analysis of Machined Partsitions of high-energy degenerate eigenfunctions in different systems. We review here the key results from each of the previous Chapters, and briefly discuss the wider scientific context for this investigation.
发表于 2025-3-22 19:56:55 | 显示全部楼层
https://doi.org/10.1007/978-3-319-48556-0Filamentary Tangle; Wave Chaos; Knot Statistics; Statistical Geometry; Statistical Topology; Quantum Chao
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发表于 2025-3-23 06:38:28 | 显示全部楼层
Manufacturing Analysis of Machined Partsitions of high-energy degenerate eigenfunctions in different systems. We review here the key results from each of the previous Chapters, and briefly discuss the wider scientific context for this investigation.
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