Quasi-Stable Configurations of Torus Vortex Knots and Links
The dynamics of torus vortex configurations Vn, p, q in a superfluid liquid at zero temperature (n is the number of quantum vortices, p is the number of turns of each filament around the symmetry axis of the torus, and q is the number of turns of the filament around its central circle; radii R0 and r0 of the torus at the initial instant are much larger than vortex core width ξ) has been simulated numerically based on the regularized Biot–Savart law. The lifetime of vortex systems till the instant of their substantial deformation has been calculated with a small step in parameter B0 = r0/R0 for various values of parameter Λ = ln(R0/ξ). It turns out that for certain values of n, p, and q, there exist quasi-stability regions in the plane of parameters (B0, Λ), in which the vortices remain almost invariable during dozens and even hundreds of characteristic lengths.
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