The sound-ring radiation of expanding vortex clusters
Abstract
We investigate wave-vortex interaction emerging from an expanding compact vortex cluster in a two-dimensional Bose-Einstein condensate. We adapt techniques developed for compact gravitational objects to derive the characteristic modes of the wave-vortex interaction perturbatively around an effective vortex flow field. We demonstrate the existence of orbits or sound-rings, in analogy to gravitational light-rings, and compute the characteristic spectrum for the out-of-equilibrium vortex cluster. The spectrum obtained from numerical simulations of a stochastic Gross-Pitaevskii equation exhibiting an expanding vortex cluster is in excellent agreement with analytical predictions. Our findings are relevant for 2d-quantum turbulence, the semi-classical limit around fluid flows, and rotating compact objects exhibiting discrete circulation.
Keywords
Cite
@article{arxiv.2105.11509,
title = {The sound-ring radiation of expanding vortex clusters},
author = {August Geelmuyden and Sebastian Erne and Sam Patrick and Carlo Barenghi and Silke Weinfurtner},
journal= {arXiv preprint arXiv:2105.11509},
year = {2022}
}
Comments
7 pages, 5 figures