QuasiStable Configurations of Torus Vortex Knots and Links
Abstract
The dynamics of torus vortex configurations V_{n, 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 R_{0} and r_{0} 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 B_{0} = r_{0}/R_{0} for various values of parameter Λ = ln(R_{0}/ξ). It turns out that for certain values of n, p, and q, there exist quasistability regions in the plane of parameters (B_{0}, Λ), in which the vortices remain almost invariable during dozens and even hundreds of characteristic lengths.
 Publication:

Soviet Journal of Experimental and Theoretical Physics
 Pub Date:
 September 2018
 DOI:
 10.1134/S106377611809008X
 arXiv:
 arXiv:1806.10783
 Bibcode:
 2018JETP..127..581R
 Keywords:

 Condensed Matter  Other Condensed Matter;
 Nonlinear Sciences  Pattern Formation and Solitons;
 Physics  Fluid Dynamics
 EPrint:
 6 pages, 19 figures, English translation of Russian original, to appear as JETP 127(3), 581586 (2018)