Krstulovic Giorgio
Laboratoire Lagrange, UMR7293, Université de Nice Sophia-Antipolis, CNRS, Observatoire de la Côte d'Azur, B.P. 4229, 06304 Nice Cedex 4, France.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Nov;86(5 Pt 2):055301. doi: 10.1103/PhysRevE.86.055301. Epub 2012 Nov 9.
We study the statistical properties of the Kelvin waves propagating along quantized superfluid vortices driven by the Gross-Pitaevskii equation. No artificial forcing or dissipation is added. Vortex positions are accurately tracked. This procedure directly allows us to obtain the Kevin-wave occupation-number spectrum. Numerical data obtained from long time integration and ensemble average over initial conditions support the spectrum proposed in L'vov and Nazarenko [JETP Lett. 91, 428 (2010)]. Kelvin-wave modes in the inertial range are found to be Gaussian as expected by weak-turbulence predictions. Finally the dissipative range of the Kelvin-wave spectrum is studied. Strong non-Gaussian fluctuations are observed in this range.
我们研究了由格罗斯-皮塔耶夫斯基方程驱动的沿量子化超流体涡旋传播的开尔文波的统计特性。未添加任何人工强迫或耗散。涡旋位置被精确跟踪。该过程直接使我们能够获得开尔文波占有数谱。从长时间积分和对初始条件的系综平均获得的数值数据支持了L'vov和Nazarenko [《喷气推进实验室快报》91, 428 (2010)]中提出的谱。如弱湍流预测所预期的那样，发现惯性范围内的开尔文波模式是高斯分布的。最后研究了开尔文波谱的耗散范围。在该范围内观察到强烈的非高斯涨落。
