Numerical Study of Velocity Statistics in Steady Counterflow Quantum Turbulence

Details Numerical Study of Velocity Statistics in Steady Counterflow Quantum Turbulence Numerical Study of Velocity Statistics in Steady Counterflow Quantum Turbulence

2011-01-05

arxiv.org/abs/1101.0926v1

Physics

Condensed Matter

Other Condensed Matter

4 pages, 7 figures

Scientific paper

We investigate the velocity statistics by calculating the Biot--Savart velocity induced by vortex filaments in steady counterflow turbulence investigated in a previous study [Phys. Rev. B {\bf 81}, 104511 (2010)]. The probability density function (PDF) obeys a Gaussian distribution in the low-velocity region and a power-law distribution $v^{-3}$ in the high-velocity region. This transition between the two distributions occur at the velocity characterized by the mean inter-vortex distance. Counterflow turbulence causes anisotropy of the vortex tangle, which leads to a difference in the PDF for the velocities perpendicular to and parallel to the counterflow.

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