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Identification of Kelvin Waves: Numerical Challenges

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Abstract

Kelvin waves are expected to play an essential role in the energy dissipation for quantized vortices. However, the identification of these helical distortions is not straightforward, especially in case of vortex tangle. Here we review several numerical methods that have been used to identify Kelvin waves within the vortex filament model. We test their validity using several examples and estimate whether these methods are accurate enough to verify the correct Kelvin spectrum. We also illustrate how the correlation dimension is related to different Kelvin spectra and remind that the 3D energy spectrum E(k) takes the form 1/k in the high-k region, even in the presence of Kelvin waves.

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Acknowledgements

We acknowledge the support from the Academy of Finland and EU 7th Framework Programme (FP7/2007-2013, Grant 228464, MicroKelvin).

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Authors and Affiliations

  1. O.V. Lounasmaa Laboratory, Aalto University, P.O. Box 15100, 00076, Aalto, Finland

    R. Hänninen & N. Hietala

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  1. R. Hänninen
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  2. N. Hietala
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Correspondence to R. Hänninen.

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Hänninen, R., Hietala, N. Identification of Kelvin Waves: Numerical Challenges. J Low Temp Phys 171, 485–496 (2013). https://doi.org/10.1007/s10909-012-0749-6

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  • DOI: https://doi.org/10.1007/s10909-012-0749-6

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