Breather-induced quantised superfluid vortex filaments and their characterisation

Hao Li,Chong Liu,Wei Zhao,Zhan-Ying Yang,Wen-Li Yang

Figure 3. Relations between ${\rm{\Delta }}K({\kappa }_{0},t)$ and rk(κ0, t) on logarithmic coordinates ($\mathrm{ln}{\rm{\Delta }}K$, $\mathrm{ln}{r}_{k}$) (a) as κ0 varies with fixed t = −0.01; (b) as t varies with fixed κ0 = 1. The solid lines are a precise description of the relation between $\mathrm{ln}{\rm{\Delta }}K$ and $\mathrm{ln}{r}_{k}$ as $b\to \infty $. The values of the parameter b are random numbers in the region b ∈ [2κ0, 30κ0].