Dynamics of the vortex line density in superfluid counterflow turbulence
arXiv:1709.00671 · doi:10.1103/PhysRevB.97.014508
Abstract
Describing superfluid turbulence at intermediate scales between the inter-vortex distance and the macroscale requires an acceptable equation of motion for the density of quantized vortex lines . The closure of such an equation for superfluid inhomogeneous flows requires additional inputs besides and the normal and superfluid velocity fields. In this paper we offer a minimal closure using one additional anisotropy parameter . Using the example of counterflow superfluid turbulence we derive two coupled closure equations for the vortex line density and the anisotropy parameter with an input of the normal and superfluid velocity fields. The various closure assumptions and the predictions of the resulting theory are tested against numerical simulations.
arXiv comment7 pages, 5 figures
References in corpus (13)
- Quantum vortex reconnections
- Structure of quantum vortex tangle in He-4 counterflow turbulence
- Diffusion of Inhomogeneous Vortex Tangle and Decay of Superfluid Turbulence
- Diffusion of an Inhomogeneous Vortex Tangle
- The approach to vortex reconnection
- Dynamics of the Density of Quantized Vortex-Lines in Superfluid Turbulence
- Counterflow quantum turbulence of He II in a square channel: Numerical analysis with nonuniform flows of the normal fluid
- Evolution of a Network of Vortex Loops in HeII. Exact Solution of the "Rate Equation"
- Thermal counterflow in a periodic channel with solid boundaries
- Analytic solution of the dynamics of quantum vortex reconnection
- Mechanical momentum transfer in wall-bounded superfluid turbulence
- Reply to Comment on "Dynamics of the Density of Quantized Vortex-Lines in Superfluid Turbulence"
- Comment on "Dynamics of the Density of Quantized Vortex-Lines in Superfluid Turbulence"