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Geometry and Scaling of Vortex Lines

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Analysis of Quantised Vortex Tangle

Part of the book series: Springer Theses ((Springer Theses))

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Abstract

Many geometrical properties can be be used to characterise space curves, and for random filaments such as the vortices in wave chaos may take particular 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 be compared to known results on wave chaos, as well as the fractalities and scaling relations which can take particular universal values, indicating that vortices behave randomly on large scales.

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  1. H H Wills Physics Laboratory, University of Bristol, Bristol, UK

    Alexander John Taylor

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Taylor, A.J. (2017). Geometry and Scaling of Vortex Lines. In: Analysis of Quantised Vortex Tangle. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-48556-0_3

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