Double Kelvin Wave Cascade in Superfluid Helium

Details Double Kelvin Wave Cascade in Superfluid Helium Double Kelvin Wave Cascade in Superfluid Helium

2008-10-20

arxiv.org/abs/0810.3573v1

Nonlinear Sciences

Chaotic Dynamics

7 pages, 2 figures

Scientific paper

We study the double cascade of energy and wave action in a local model of superfluid vortex filaments. The model is obtained from a truncated expansion of the 2D Local Induction Approximation and it is shown to support six-wave interactions. We argue that, because of the uncertainty in the vortex core profile, this model has the same status of validity as the traditionally used Biot-Savart model with cutoff, but it has advantage of being much simpler. Our minimal model leads to a wave kinetic equation for which we predict existence of two distinct power-law scaling in the spectrum, corresponding to a direct cascade of energy and an inverse one of wave action. Direct numerical simulations confirm the theoretical predictions in the weak turbulence regime.

Affiliated with

Also associated with

No associations

Rating

Double Kelvin Wave Cascade in Superfluid Helium does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Double Kelvin Wave Cascade in Superfluid Helium, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Double Kelvin Wave Cascade in Superfluid Helium will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-266127