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arXiv · 1205.0461

Temperature suppression of Kelvin-wave turbulence in superfluids

Laurent Boué·Victor L'vov·Itamar Procaccia
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Abstract

Kelvin waves propagating on quantum vortices play a crucial role in the phenomenology of energy dissipation of superfluid turbulence. Previous theoretical studies have consistently focused on the zero-temperature limit of the statistical physics of Kelvin-wave turbulence. In this letter, we go beyond this athermal limit by introducing a small but finite temperature in the form of non-zero mutual friction dissipative force; A situation regularly encountered in actual experiments of superfluid turbulence. In this case we show that there exists a new typical length-scale separating a quasi-inertial range of Kelvin wave turbulence from a far dissipation range. The letter culminates with analytical predictions for the energy spectrum of the Kelvin-wave turbulence in both of these regimes.

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Laurent Boué, Victor L'vov, Itamar Procaccia. 2012-07-29. Temperature suppression of Kelvin-wave turbulence in superfluids. https://doi.org/10.1209/0295-5075%2F99%2F46003

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