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Quantum Simulation

Geometry and scaling of tangled vortex lines in three-dimensional random wave fields

arXiv
Authors: Alexander J. Taylor, Mark R. Dennis

Year

2014

Paper ID

47208

Status

Preprint

Abstract Read

~2 min

Abstract Words

92

Citations

N/A

Abstract

The short- and long-scale behaviour of tangled wave vortices (nodal lines) in random three-dimensional wave fields is studied via computer experiment. The zero lines are tracked in numerical simulations of periodic superpositions of three-dimensional complex plane waves. The probability distribution of local geometric quantities such as curvature and torsion are compared to previous analytical and new Monte Carlo results from the isotropic Gaussian random wave model. We further examine the scaling and self-similarity of tangled wave vortex lines individually and in the bulk, drawing comparisons with other physical systems of tangled filaments.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • The short- and long-scale behaviour of tangled wave vortices (nodal lines) in random three-dimensional wave fields is studied via computer experiment.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1410.0383 [2] arXiv https://arxiv.org/abs/1410.0383 [3] Publisher https://arxiv.org/abs/1410.0383

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