Dynamics of Nonplanar Quantized Vortex Rings Before Reconnection at Finite Temperatures

The paper presents a numerical study of the dynamics of nonplanar quantized vortices at finite temperatures on their route to reconnection. We perform numerical simulations using the vortex filament method, solving the full Biot–Savart equation at a wide range of temperatures and initial conditions. We consider the dynamics of the two rings, lying initially in different planes and at different distances. The angles between planes are taken as equal to 30 ∘ , 45 ∘ , 60 ∘ , and 90 ∘ . It is observed that the temperature and the initial position of the vortices strongly affect the dynamics of the vortices on their route to reconnection. However, when the distances between the vertices of the vortices become smaller than the distances satisfying the Schwarz reconnection criterion, the dynamics of the system change drastically, and this trend is universal. The universality is expressed in the shapes and velocities of the vertices of the vortices.