Kelvin-wave cascade in the vortex filament model
Kelvin-wave cascade in the vortex filament model
复制标题
涡旋丝模型中的开尔文波级联
DOI：
10.1103/physrevb.89.014504
复制
发表时间：
2012
影响因子：
3.7
通讯作者：
J. Laurie
中科院分区：
文献类型：
--
作者：
A. Baggaley;J. Laurie
氦4零温超流体湍流中的小尺度能量传递机制仍然是一个广泛争论的话题。目前，主要的假设是弱非线性相互作用的开尔文波（KW）将能量转移到足够小的尺度，使得能量通过声子激发以热量的形式耗散。理论上，至少有两种关于开尔文波相互作用的理论。我们对弱非线性相互作用 KW 进行了迄今为止最全面的数值模拟，并表明，使用专门设计的数值算法并结合了完整的 Biot-Savart 方程，我们的结果与 L'vov 和 Nazarenko 提出的非局域六波 KW 相互作用一致。
The small-scale energy-transfer mechanism in zero-temperature superfluid turbulence of helium-4 is still a widely debated topic. Currently, the main hypothesis is that weakly nonlinear interacting Kelvin waves (KWs) transfer energy to sufficiently small scales such that energy is dissipated as heat via phonon excitations. Theoretically, there are at least two proposed theories for Kelvin-wave interactions. We perform the most comprehensive numerical simulation of weakly nonlinear interacting KWs to date and show, using a specially designed numerical algorithm incorporating the full Biot-Savart equation, that our results are consistent with the nonlocal six-wave KW interactions as proposed by L'vov and Nazarenko.