Double Kelvin Wave Cascade in Superfluid Helium
| dc.creator | Boffetta, G. | |
| dc.creator | Celani, A. | |
| dc.creator | Dezzani, D. | |
| dc.creator | Laurie, J. | |
| dc.creator | Nazarenko, S. | |
| dc.date | 2008-10-20 | |
| dc.date.accessioned | 2026-07-07T10:11:45Z | |
| dc.date.available | 2026-07-07T10:11:45Z | |
| dc.description | 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. | |
| dc.description | 7 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/0810.3573 | |
| dc.identifier | http://arxiv.org/abs/0810.3573 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/171958 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Double Kelvin Wave Cascade in Superfluid Helium | |
| dc.type | text |