Fig. 5: Statistics of spatial vortex distribution in quantum turbulence.
From: Vortex clustering, polarisation and circulation intermittency in classical and quantum turbulence
a Moments of the number of vortices normalised by the area that contains them, ZA = n/A. Dashed lines correspond to the scaling of Eq. (7), using the She–Lévêque prediction44 for the anomalous exponents τ(p) with D∞ = 1. b PDFs of the number of vortices contained in loops of varying area A/ℓ2. The dashed line corresponds to a Poisson distribution of mean equal to 〈n〉A at A = 140ℓ2. c Centred reduced PDFs of \({{{{{{\mathrm{log}}}}}}}\,({Z}_{A})\) for different values of A/ℓ2. A log-normal distribution is shown as reference (red dashed line).
