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Kelvin waves cascade in superfluid turbulence.

D Kivotides¹, J C Vassilicos, D C Samuels

¹Mathematics Department, University of Newcstle, United Kingdom.

Physical Review Letters

|April 6, 2001

Summary

Numerical simulations reveal Kelvin waves and vortex reconnections drive energy cascades in superfluid vortex tangles. This process transfers energy to smaller scales, impacting turbulent dynamics.

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Area of Science:

* Fluid Dynamics
* Quantum Turbulence
* Superfluidity

Background:

* Superfluid vortex dynamics are crucial for understanding quantum turbulence.
* Vortex reconnections are key events in dissipating energy in superfluids.
* Kelvin waves play a significant role in the dynamics of vortex lines.

Purpose of the Study:

* To numerically investigate the interaction of four initial superfluid vortex rings.
* To analyze the energy transfer mechanisms within a turbulent vortex tangle.
* To understand the role of Kelvin waves and reconnections in superfluid turbulence.

Main Methods:

* Numerical simulations of four interacting superfluid vortex rings.
* Analysis of energy spectra and curvature spectra.
* Identification and characterization of Kelvin wave generation and propagation.

Main Results:

* Evidence of Kelvin wave cascades generated by vortex reconnections.
* Energy transfer to higher wave numbers (k) observed.
* Post-reconnection energy spectrum scaling as k(-1).
* Flat curvature spectrum observed after reconnections.

Conclusions:

* Kelvin waves and vortex reconnections are critical for energy transfer in superfluid turbulence.
* These phenomena drive an energy cascade to smaller scales.
* The findings contribute to understanding the fundamental physics of turbulent superfluids.

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