发表机构
Instituto Superior de Engenharia de Lisboa, Instituto Politécnico de Lisboa; GoLP/IPFN, Instituto Superior Técnico, Universidade de Lisboa（里斯本高等工程学院，里斯本理工学院; 高能量子与等离子体物理实验室/核物理研究所，里斯本高等技术学院，里斯本大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文证明点涡旋气体是真正的弗拉索夫系统，推导出其动力学方程，预测了朗道阻尼和模式选择性不稳定性，为集体涡旋动力学提供了动力学理论框架。
AI 中文摘要
我们证明无碰撞的点涡旋气体表现为一个真正的弗拉索夫系统。从点涡旋动力学的非正则哈密顿结构出发，我们直接在物理平面上推导出约化的克利蒙托维奇方程和相应的弗拉索夫描述，无需引入辅助动量变量。该理论预测了丰富的集体现象谱，包括涡旋罗斯贝类波、全局振荡、共振临界层，以及一个与等离子体和自引力系统类似的介电响应算子。对于光滑的涡旋分布，微分旋转产生了朗道阻尼的涡旋类比，其中集体模式在无碰撞或耗散的情况下将能量和角动量传递给共振涡旋环。值得注意的是，微分旋转充当了严格的模式选择机制：对于高斯涡旋云，只有一个四极准模式存活，而所有更高阶多极子都被相位混合所破坏。我们进一步预测了束-等离子体不稳定性的涡旋对应物，其中围绕翁萨格斑块运行的薄涡旋环选择性地激发具有由环群决定的方位角对称性的开尔文模式。这些结果确立了动力学理论作为集体涡旋动力学的自然框架，并提出了中子星超流体中涡旋输运、涡旋雪崩和旋转毛刺的新机制。
英文摘要
We show that a collisionless point-vortex gas behaves as a genuine Vlasov system. Starting from the non-canonical Hamiltonian structure of point-vortex dynamics, we derive a reduced Klimontovich equation and the corresponding Vlasov description directly on the physical plane, without introducing auxiliary momentum variables. The theory predicts a rich spectrum of collective phenomena, including vortex Rossby-like waves, global oscillations, resonant critical layers, and a dielectric response operator analogous to that of plasmas and self-gravitating systems. For smooth vortex distributions, differential rotation gives rise to a vortex analogue of Landau damping, whereby collective modes transfer energy and angular momentum to resonant vortex annuli in the absence of collisions or dissipation. Remarkably, differential rotation acts as a stringent mode-selection mechanism: for a Gaussian vortex cloud, only a single quadrupolar quasi-mode survives, while all higher multipoles are destroyed by phase mixing. We further predict a vortex counterpart of the beam--plasma instability, in which a thin vortex ring orbiting an Onsager patch selectively excites Kelvin modes with an azimuthal symmetry controlled by the ring population. These results establish kinetic theory as a natural framework for collective vortex dynamics and suggest new mechanisms for vortex transport, vortex avalanches, and rotational glitches in neutron-star superfluids.
