TY  - BOOK
AU  - Taylor,Alexander John
ED  - SpringerLink (Online service)
TI  - Analysis of Quantised Vortex Tangle
T2  - Springer Theses, Recognizing Outstanding Ph.D. Research,
SN  - 9783319485560
AV  - QC1-999 
U1  - 530.1 23
PY  - 2017///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Physics
KW  - Mathematical physics
KW  - Topology
KW  - Statistics 
KW  - Numerical and Computational Physics, Simulation
KW  - Mathematical Physics
KW  - Statistical Theory and Methods
N1  - Introduction -- Numerical Methods -- Geometry and Scaling of Vortex Lines -- Topological Methods -- Knotting and Linking of Vortex Lines -- Conclusions.; Available to subscribing member institutions only. Доступно лише організаціям членам підписки
N2  - 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.
UR  - https://doi.org/10.1007/978-3-319-48556-0
ER  -