Baggaley A W, Barenghi C F
School of Mathematics and Statistics, Newcastle University, Newcastle upon Tyne NE1 7RU, United Kingdom.
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Dec;84(6 Pt 2):067301. doi: 10.1103/PhysRevE.84.067301. Epub 2011 Dec 5.
Two research groups have measured turbulent velocity statistics in superfluid helium using different techniques. The results were in conflict: one experiment revealed Gaussian distributions (as observed in ordinary turbulence), the other experiment determined power laws. To solve the apparent puzzle, we numerically model quantum turbulence as a tangle of vortex filaments, and conclude that there is no contradiction between the two experiments. The transition from Gaussian to power law arises from the different length scales which are probed using the two techniques. We find that the average distance between the quantum vortices marks the separation between quantum and quasiclassical length scales.
两个研究小组使用不同技术测量了超流氦中的湍流速度统计数据。结果相互矛盾：一个实验揭示了高斯分布（如在普通湍流中观察到的），另一个实验确定了幂律。为了解决这一明显的难题，我们将量子湍流数值建模为涡旋丝的缠结，并得出结论，这两个实验之间不存在矛盾。从高斯分布到幂律的转变源于使用两种技术探测的不同长度尺度。我们发现量子涡旋之间的平均距离标志着量子和准经典长度尺度之间的分离。
