30 research outputs found
Simplified hydrodynamic analysis of superfluid turbulence in He II: Internal dynamics of inhomogeneous vortex tangle
Turbulent superfluid profiles in a counterflow channel
We have developed a two-dimensional model of quantised vortices in helium II
moving under the influence of applied normal fluid and superfluid in a
counterflow channel. We predict superfluid and vortex-line density profiles
which could be experimentally tested using recently developed visualization
techniques.Comment: 3 double figures, 9 page
Rotating Superconductors and the Frame-independent London Equation
A frame-independent, thermodynamically exact London equation is presented,
which is especially valid for rotating superconductors. A direct result is the
unexpectedly high accuracy () for the usual expression of the
London moment.Comment: 4 pages, 0 figure
Collective Motion of an Assembly of Disclinations in the Non-Orthogonally Twisted Nematics Quenched below the Clearing Point
Method of trial distribution function for quantum turbulence
Studying quantum turbulence the necessity of calculation the various characteristics of the vortex tangle (VT)
appears. Some of "crude" quantities can be expressed directly via the total length of vortex lines (per unit of volume)
or the vortex line density L(t) and the structure parameters of the VT. Other more “subtle” quantities require
knowledge of the vortex line configurations {s(ξ,t)}. Usually, the corresponding calculations are carried
out with the use of more or less truthful speculations concerning arrangement of the VT. In this paper we review
other way to solution of this problem. It is based on the trial distribution functional (TDF) in space of vortex
loop configurations. The TDF is constructed on the basis of well established properties of the vortex tangle. It is
designed to calculate various averages taken over stochastic vortex loop configurations. In this paper we also review
several applications of the use this model to calculate some important characteristics of the vortex tangle.
In particular we discussed the average superfluid mass current J induced by vortices and its dynamics. We also
describe the diffusion-like processes in the nonuniform vortex tangle and propagation of turbulent fronts