Density waves of vortex fluids on a sphere  

作　　者：Yanqi Xiong Zhijun Zou Liang Luo 

机构地区：[1]Key Laboratory of Hunan Province on Information Photonics and Freespace Optical Communications,School of Physics and Electronic Science,Hunan Institute of Science and Technology,Yueyang 414006,China [2]Graduate School of China Academy of Engineering Physics,Beijing 100193,China

出　　处：《Communications in Theoretical Physics》2025年第4期159-166,共8页理论物理通讯(英文版)

基　　金：supported by the Scientific research projects of Hunan Provincial Department of Education(Grant Nos.22A0477 and 20B273)。

摘　　要：We aim to find one highly nontrivial example of the solutions to the vortex fluid dynamical equation on the unit sphere(S^(2))and compare it with the numerical simulation.Since the rigid rotating steady solution for vortex fluids on S^(2)is already known to us,we consider the perturbations above it.After decomposing the perturbation of the vortex number density and vortex charge density into spherical harmonics,we find that the perturbations are propagating waves.To be precise,the velocities for different single-mode vortex number density waves are all the same,while the velocities for single-mode vortex charge density waves depend on the degree of the spherical harmonics l,which is a signal of the existence of dispersion.Meanwhile,we find that there is a beat phenomenon for the positive(or negative)vortex density wave.Numerical simulation based on the canonical equations for the point vortex model agrees perfectly with our theoretical calculations.

关 键 词：quantum vortex 2D sphere SUPERFLUID density wave dispersion ome 

分 类 号：O35[理学—流体力学]