Fig. 4: Two populations of vortices with different circulations showing phase enrichment, Γ_l = 2π in black and Γ_h = 256π in green.

A Steady-state configuration for ten thousand point vortices of a circulation ratio γ = Γ_h/Γ_l = 128. Each inset shows a close-up view of one of the populations within the same physical region. B Density of the configuration in (A), ρ(r), averaged over angle as a function of distance from the center. Note how density fluctuations are suppressed for the high-circulation vortices, as is more clearly observed by the averaged structure factor, S(q), in (C), where the dashed green line shows a ~ q^1.4 power law. Error bars are standard deviation over ten well-separated timesteps shown as transparent dots on top of the average result. D The second moment for N = 10,000 vortices. Plotted separately for the high (in green) and low (in black) vortices at steady state as a function of γ (i.e., increasing Γ_h). E LOSSLESS compression for the two populations showing an increase (decrease) in file size (an estimate of entropy) for the low (high) circulation vortices over a couple of cycles. In blue is the file size for the total system. Solid line is a moving average, time is normalized by an average cycle time t_c.