Two-dimensional simulation of vortex points and tracer particles in counterflowing He-II
1 Faculty of Mathematics and Physics, Charles University in Prague, Ke Karlovu 3, 121 16 Prague, Czech Republic
2 Joint Quantum Centre Durham-Newcastle, School of Mathematics and Statistics, Newcastle University, Newcastle upon Tyne NE1 7RU, United Kingdom,
3 Joint Quantum Centre Durham-Newcastle, School of Mechanical and Systems Engineering, Newcastle University, Newcastle upon Tyne NE1 7RU, United Kingdom,
a Corresponding author: email@example.com
Published online: 25 March 2014
The article presents results obtained based on numerical simulation of two-dimensional vortex points and inertial tracer particles in two-component counterflowing superfluid He-II. In the low temperature limit (no normal fluid, no friction) our model would reduce to Onsager’s famous vortex gas. The flow of the normal component of the He-II is assumed uniform, while the superfluid velocity field is induced by vortex points which model three-dimensional quantized vortex lines. Probability density functions of velocity and acceleration of tracer particles and superfluid velocity field are obtained. We find that tails of probability distributions follow power-laws with various exponents, except in the case of sufficiently coarse-grained superfluid velocity field, where Gaussian shape is observed. The decay of the number of vortices is also studied, yielding results in agreement with Vinen’s phenomenological model of quantum turbulence.
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