Kelvin-wave cascade and dissipation in low-temperature superfluids vortices

Abstract

We study the statistical properties of the Kelvin waves propagating along quantized superfluid vortices driven by the Gross-Pitaevskii equation. No artificial forcing or dissipation is added. Vortex positions are accurately tracked. This procedure directly allows us to obtain the Kevin-waves occupation-number spectrum. Numerical data obtained from long time integration and ensemble-average over initial conditions supports the spectrum proposed in [L'vov and Nazarenko, JETP Lett 91, 428 (2010)]. Kelvin wave modes in the inertial range are found to be Gaussian as expected by weak-turbulence predictions. Finally the dissipative range of the Kelvin-wave spectrum is studied. Strong non-Gaussian fluctuations are observed in this range.

References in corpus (3)

• Emergence of turbulence in an oscillating Bose-Einstein condensate
• Critical Dynamics of a Two-dimensional Superfluid near a Non-Thermal Fixed Point
• Quantum turbulence in propagating superfluid vortex front

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