Interaction between active particles and quantum vortices leading to Kelvin wave generation
Interaction between active particles and quantum vortices leading to Kelvin wave generation
复制标题
活性粒子和量子涡旋之间的相互作用导致开尔文波的产生
作者：
Umberto Giuriato;G. Krstulovic
超流体的主要特征之一是存在量子循环的拓扑缺陷。这些物体被称为量子涡旋，表现出一种流体力学行为。如今，粒子是用于可视化量子涡旋和研究其动力学的主要实验工具。我们使用基于三维Gross-Pitaevskii(GP)方程的自洽模型，从理论和数值上研究了极低温度下粒子与量子化涡旋之间的吸引相互作用。粒子被描述为耗尽超流体的定域势，遵循牛顿动力学。我们能够解析地推导出一个简化的中心力模型，该模型只依赖于粒子的经典自由度。结果表明，该模型与GP模拟结果一致。然后，我们将该模型推广到包含涡旋细丝的变形。由此产生的长程相互作用定性地再现了在粒子方法期间在涡旋细丝上观察到的尖点的产生。此外，我们还发现，即使粒子距离涡旋细丝很远，它们也可以通过共振机制激发涡旋细丝上的开尔文波。
One of the main features of superfluids is the presence of topological defects with quantised circulation. These objects are known as quantum vortices and exhibit a hydrodynamic behaviour. Nowadays, particles are the main experimental tool used to visualise quantum vortices and to study their dynamics. We use a self-consistent model based on the three-dimensional Gross-Pitaevskii (GP) equation to explore theoretically and numerically the attractive interaction between particles and quantized vortices at very low temperature. Particles are described as localised potentials depleting the superfluid and following Newtonian dynamics. We are able to derive analytically a reduced central-force model that only depends on the classical degrees of freedom of the particle. Such model is found to be consistent with the GP simulations. We then generalised the model to include deformations of the vortex filament. The resulting long-range mutual interaction qualitatively reproduces the observed generation of a cusp on the vortex filament during the particle approach. Moreover, we show that particles can excite Kelvin waves on the vortex filament through a resonance mechanism even if they are still far from it.
具有不混溶活性杂质的二维超流体中的聚类和相变
DOI：
10.1088/1751-8121/ab2607
发表时间：
2019
期刊：
Mathematical and Theoretical
影响因子：
--
作者：
Giuriato U
通讯作者：
Giuriato U