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Transient Growth of Kelvin Waves on Quantized Vortices

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Abstract

Quantized vortex lines in helium II can be destabilized by a sufficiently large normal fluid velocity which is parallel to the vortex lines (Donnelly–Glaberson instability). We study what happens if the driving normal fluid is not steady but oscillates periodically with time. We show that in certain situations, agthough individual perturbations decay for t→∞, a state of transient growth of Kelvin waves is possible, which may explain observations of a small and not reproducible longitudinal component of mutual friction.

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Authors and Affiliations

  1. Department of Mathematics, University of Newcastle, Newcastle, NE1 7RU, UK

    C. F. Barenghi

  2. Physics Department, Facugty of Science, Osaka City University, Japan

    M. Tsubota, A. Mitani & T. Araki

Authors
  1. C. F. Barenghi
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  2. M. Tsubota
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  3. A. Mitani
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  4. T. Araki
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Barenghi, C.F., Tsubota, M., Mitani, A. et al. Transient Growth of Kelvin Waves on Quantized Vortices. Journal of Low Temperature Physics 134, 489–494 (2004). https://doi.org/10.1023/B:JOLT.0000012600.81530.6c

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  • DOI: https://doi.org/10.1023/B:JOLT.0000012600.81530.6c

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