Fig. 3: Circulation statistics in quantum turbulence.
From: Vortex clustering, polarisation and circulation intermittency in classical and quantum turbulence
a Circulation variance as a function of the area A of each loop and of the number n of neighbouring vortices. The dotted line represents the scaling A1 observed at small scales of quantum turbulence13. b, c Moments and local slopes of \({\langle | {{\Gamma }}{| }^{p}\rangle }_{n}\) as a function of \({\langle {{{\Gamma }}}^{2}\rangle }_{n}\) according to the ESS approach, for p ∈ [2, 8]. Dashed green lines represent the K41 scaling γp = 2p/3. d, e PDFs of the circulation for different (d) numbers of vortices and (e) loop areas. All PDFs are normalised by the respective standard deviations. Dashed red lines represent a unit Gaussian distribution.
