Decay of Time Correlations in Point Vortex Systems
arXiv:2311.06963 · doi:10.1016/j.physd.2024.134169
Abstract
The dynamics of a large point vortex system whose initial configuration consists in uniformly distributed independent positions is investigated. Time correlations of local observables of the vortex configuration are shown to be compatible with power law decay 1/t, providing additional insight on ergodicity and mixing properties of equilibrium dynamics in point vortex models.
7 pages, 4 figures; updated version with increased sample size (sampling with different numbers N of involved point vortices) and expanded discussion of previous literature