42 citations · 88 across the 4 of their papers we have counts for
5 papers
Helicity conservation under quantum reconnection of vortex rings
Simone Zuccher, Renzo L. Ricca
Here we show that under quantum reconnection, simulated by using the three-dimensional Gross- Pitaevskii equation, self-helicity of a system of two interacting vortex rings remains…
Conservation of writhe helicity under anti-parallel reconnection
Christian E. Laing, Renzo L. Ricca, De Witt L. Sumners
Reconnection is a fundamental event in many areas of science, from the interaction of vortices in classical and quantum fluids, and magnetic flux tubes in magnetohydrodynamics and…
Velocity, energy and helicity of vortex knots and unknots
F. Maggioni, S. Alamri, C. F. Barenghi +1
In this paper we determine the velocity, the energy and estimate writhe and twist helicity contributions of vortex filaments in the shape of torus knots and unknots (toroidal and p…
On the groundstate energy of tight knots
Francesca Maggioni, Renzo L. Ricca
New results on the groundstate energy of tight, magnetic knots are presented. Magnetic knots are defined as tubular embeddings of the magnetic field in an ideal, perfectly conducti…
Kinetic energy of vortex knots and unknots
Francesca Maggioni, Sultan Z. Alamri, Carlo F. Barengi +1
New results on the kinetic energy of ideal vortex filaments in the shape of torus knots and unknots are presented. These knots are given by small-amplitude torus knot solutions (Ri…