Numerical study of velocity statistics in steady counterflow quantum turbulence

We investigate the velocity statistics by calculating the Biot-Savart velocity induced by vortex filaments in steady counterflow turbulence investigated in a previous study [H. Adachi, S. Fujiyama, and M. Tsubota, Phys. Rev. B 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 intervortex 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.