# Kelvin-wave cascade in the vortex filament model

@article{Baggaley2014KelvinwaveCI, title={Kelvin-wave cascade in the vortex filament model}, author={Andrew W. Baggaley and Jason Laurie}, journal={Physical Review B}, year={2014}, volume={89}, pages={014504} }

The small-scale energy-transfer mechanism in zero-temperature superfluid turbulence of helium-4 is still a widely debated topic. Currently, the main hypothesis is that weakly nonlinear interacting Kelvin waves (KWs) transfer energy to sufficiently small scales such that energy is dissipated as heat via phonon excitations. Theoretically, there are at least two proposed theories for Kelvin-wave interactions. We perform the most comprehensive numerical simulation of weakly nonlinear interacting…

## 24 Citations

Scaling laws of wave-cascading superfluid turbulence

- Physics
- 2017

Phenomenological model is constructed for superfluid turbulence for two distinct energy cascade scenarios, sound wave cascade and critically-balanced Kelvin wave cascade, using the method for…

Kelvin waves and the decay of quantum superfluid turbulence

- Physics
- 2014

intervortex distance � . These excitations cascade down to the resolution scale �ξ which in our simulations is of the order �ξ ∼ �/ 100. At this scale, the Kelvin waves are numerically damped by a…

Amplitude of Waves in the Kelvin-Wave Cascade

- PhysicsJETP Letters
- 2020

Development of experimental techniques to study superfluid dynamics, in particular, application of nanomechanical oscillators to drive vortex lines, enables potential observation of the Kelvin-wave…

Comment on “Amplitude of Waves in the Kelvin-Wave Cascade” (JETP Letters 111, 389 (2020))

- Physics
- 2020

In the recently published preprint arXiv:200.02610 Eltsov and L'vov calculated the amplitudes of waves in the Kelvin-wave cascades. This returns us to the rather old, but still unresolved dispute on…

Inviscid diffusion of vorticity in low-temperature superfluid helium

- PhysicsPhysical Review B
- 2019

We numerically study the spatial spreading of quantized vortex lines in low temperature liquid helium. The vortex lines, initially concentrated in a small region, diffuse into the surrounding…

A Note on the Propagation of Quantized Vortex Rings Through a Quantum Turbulence Tangle: Energy Transport or Energy Dissipation?

- Physics
- 2014

We investigate quantum vortex ring dynamics at scales smaller than the inter-vortex spacing in quantum turbulence. Through geometrical arguments and high-resolution numerical simulations, we examine…

Coarse-grained pressure dynamics in superfluid turbulence

- PhysicsPhysical Review Fluids
- 2020

Quantum mechanics places significant restrictions on the hydrodynamics of superfluid flows. Despite this it has been observed that turbulence in superfluids can, in a statistical sense, share many of…

Dynamics of quantized vortices and electron bubbles in the Gross-Pitaevskii model of a superfluid

- Physics
- 2018

In this thesis we present an extensive study on quantised vortex dynamics using the Gross-Pitaevskii model of a superﬂuid in the limit of zero temperature. We make use of an accurate and robust…

Active and finite-size particles in decaying quantum turbulence at low temperature

- PhysicsPhysical Review Fluids
- 2020

The evolution of a turbulent tangle of quantum vortices in presence of finite-size active particles is studied by means of numerical simulations of the Gross-Pitaevskii equation. Particles are…

Quantized Vortex Rings and Loop Solitons

- PhysicsJournal of Low Temperature Physics
- 2020

The vortex filament model is used to investigate the interaction of a quantized vortex ring with a straight vortex line and also the interaction of two solitons traveling in opposite directions along…

## References

SHOWING 1-10 OF 28 REFERENCES

Wave Turbulence Formalism

- Physics
- 2011

In this Chapter, the main mathematical derivation of the weak Wave Turbulence closure is presented. This includes formulating the nonlinear wave equation in Fourier space using the interaction…

Phys

- Rev. B, 38, 2398,
- 1988

"J."

- PhilosophyThe New Yale Book of Quotations
- 2021

however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)…

Phys

- Rev. B, 64, 134520,
- 2002

Phys

- Rev. B, 81, 064512,
- 2010

Phys

- Rev. B,77, 060502,
- 2008

J Low Temp

- Phys., 161, 603,
- 2010

V

- L’vov, S. Nazarenko, and I. Procaccia, Phys. Rev. B, 84, 064516,
- 2011

Dokl

- Akad. Nauk SSSR, 22, 241,
- 1941