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Decay of Counterflow Quantum Turbulence in Superfluid 4He

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Abstract

We have simulated the decay of thermal counterflow quantum turbulence from a statistically steady state at T=1.9 K, with the assumption that the normal fluid is at rest during the decay. The results are consistent with the predictions of the Vinen equation (in essence the vortex line density decays as t −1). For the statistically steady state, we determine the parameter c 2, which connects the curvature of the vortex lines and the mean separation of vortices. A formula connecting the parameter χ 2 of the Vinen equation with c 2 is shown to agree with the results of the simulations. Disagreement with experiment is discussed briefly.

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Acknowledgements

We would like to thank L. Skrbek and S. Babuin for helpful discussions.

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Authors and Affiliations

  1. Department of Physics, Osaka City University, Sumiyoshi-Ku, Osaka, 558-8585, Japan

    Y. Mineda & M. Tsubota

  2. The OCU Advanced Research Institute for Natural Science and Technology (OCARINA), Osaka City University, Sumiyoshi-Ku, Osaka, 558-8585, Japan

    M. Tsubota

  3. School of Physics and Astronomy, University of Birmingham, Birmingham, B15 2TT, UK

    W. F. Vinen

Authors
  1. Y. Mineda
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  2. M. Tsubota
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  3. W. F. Vinen
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Correspondence to Y. Mineda.

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Mineda, Y., Tsubota, M. & Vinen, W.F. Decay of Counterflow Quantum Turbulence in Superfluid 4He. J Low Temp Phys 171, 511–518 (2013). https://doi.org/10.1007/s10909-012-0800-7

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  • DOI: https://doi.org/10.1007/s10909-012-0800-7

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