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000778179 019__ $$a964932968$$a970788769$$a971047781$$a971067092$$a974650133
000778179 020__ $$a9783319485560$$q(electronic book)
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000778179 0247_ $$a10.1007/978-3-319-48556-0$$2doi
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000778179 1001_ $$aTaylor, Alexander John,$$eauthor.
000778179 24510 $$aAnalysis of quantised vortex tangle /$$cAlexander John Taylor.
000778179 260__ $$aCham, Switzerland :$$bSpringer,$$c2017.
000778179 300__ $$a1 online resource.
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000778179 337__ $$acomputer$$bc$$2rdamedia
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000778179 4901_ $$aSpringer theses
000778179 500__ $$a"Doctoral thesis accepted by the University of Bristol, Bristol, England."
000778179 504__ $$aIncludes bibliographical references.
000778179 5050_ $$aIntroduction -- Numerical Methods -- Geometry and Scaling of Vortex Lines -- Topological Methods -- Knotting and Linking of Vortex Lines -- Conclusions.
000778179 506__ $$aAccess limited to authorized users.
000778179 520__ $$aIn 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.
000778179 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed December 14, 2016).
000778179 650_0 $$aWave mechanics.
000778179 77608 $$iPrint version:$$z3319485555$$z9783319485553$$w(OCoLC)959594243
000778179 830_0 $$aSpringer theses.
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