Velocity spectra of superfluid turbulence
Velocity spectra of superfluid turbulence
复制标题
超流体湍流的速度谱
DOI：
--
复制
发表时间：
2002
期刊：
影响因子：
--
通讯作者：
C. Barenghi
中科院分区：
文献类型：
--
作者：
D. Kivotides;C. Vassilicos;D. C. Samuels;C. Barenghi
我们研究了超流湍流的数值统计。我们生成了一个由正常流体湍流的现实模型驱动的量子化超流体涡旋缠结，其能谱服从经典的柯尔莫哥洛夫k−5/3定律，其中k是波数。我们发现，当波数为1/δ或更大时，所得的超流速度谱近似具有k−1依赖性，其中δ是平均涡间间距。这个结果类似于在纯超流中发生的情况。我们还发现，总速度场的频谱遵循经典的k−5/3定律，即使在温度足够低的情况下，正常流体的质量只有总氦质量的5%。我们讨论我们的假设和结果，鉴于最近的实验。
We study numerically statistics of superfluid turbulence. We generate a quantized superfluid vortex tangle driven by a realistic model of normal-fluid turbulence whose energy spectrum obeys Kolmogorov's classical k−5/3 law, where k is the wave number. We find that the resulting superfluid velocity spectrum has approximately a k−1-dependence for wave numbers of the order of 1/δ and larger, where δ is the average intervortex spacing. This result is similar to what happens in a pure superflow. We also find that the spectrum of the total velocity field follows the classical k−5/3 law, even at temperatures low enough that the normal-fluid mass is only 5% of the total helium mass. We discuss our assumptions and results in view of recent experiments.