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Books > Science & Mathematics > Mathematics > Applied mathematics
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Analysis of Quantised Vortex Tangle (Paperback, Softcover reprint of the original 1st ed. 2017)
Loot Price: R2,789
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Analysis of Quantised Vortex Tangle (Paperback, Softcover reprint of the original 1st ed. 2017)
Series: Springer Theses
Expected to ship within 10 - 15 working days
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Total price: R2,809
Discovery Miles: 28 090
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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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