Kelvin-wave cascade and dissipation in low-temperature superfluid 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-wave occupation-number spectrum. Numerical data obtained from long time integration and ensemble average over initial conditions support the spectrum proposed in L'vov and Nazarenko [JETP Lett.10.1134/S002136401008014X 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.
- Publication:
-
Physical Review E
- Pub Date:
- November 2012
- DOI:
- 10.1103/PhysRevE.86.055301
- arXiv:
- arXiv:1209.3210
- Bibcode:
- 2012PhRvE..86e5301K
- Keywords:
-
- 67.25.dk;
- 03.75.Kk;
- 47.37.+q;
- 67.25.dt;
- Vortices and turbulence;
- Dynamic properties of condensates;
- collective and hydrodynamic excitations superfluid flow;
- Hydrodynamic aspects of superfluidity;
- quantum fluids;
- Sound and excitations;
- Condensed Matter - Other Condensed Matter;
- Nonlinear Sciences - Chaotic Dynamics;
- Physics - Fluid Dynamics
- E-Print:
- doi:10.1103/PhysRevE.86.055301