# Interactions between unidirectional quantized vortex rings

@article{Zhu2016InteractionsBU, title={Interactions between unidirectional quantized vortex rings}, author={Te Zhu and Matthew L. Evans and R. A. Brown and P. M. Walmsley and A. I. Golov}, journal={arXiv: Fluid Dynamics}, year={2016}, volume={1}, pages={044502} }

We have used the vortex filament method to numerically investigate the interactions between pairs of quantized vortex rings that are initially traveling in the same direction but with their axes offset by a variable impact parameter. The interaction of two circular rings of comparable radii produce outcomes that can be categorized into four regimes, dependent only on the impact parameter; the two rings can either miss each other on the inside or outside, or they can reconnect leading to final…

## 7 Citations

### Quantized Vortex Rings and Loop Solitons

- PhysicsJournal of Low Temperature Physics
- 2020

The vortex filament model is used to investigate the interaction of a quantized vortex ring with a straight vortex line and also the interaction of two solitons traveling in opposite directions along…

### Accurate numerical determination of a self-preserving quantum vortex ring

- PhysicsJournal of Physics A: Mathematical and Theoretical
- 2020

We compute simultaneously the translational speed, the magnitude and the phase of a quantum vortex ring for a wide range of radii, within the Gross–Pitaevskii model, by imposing its self preservation…

### Symmetry-breaking instability of leapfrogging vortex rings in a Bose-Einstein condensate

- PhysicsPhysical Review A
- 2019

Three coaxial quantized vortex rings in a Bose-Einstein condensate exhibit aperiodic leapfrogging dynamics. It is found that such circular vortex rings are dynamically unstable against deformation…

### Coaxial collisions of a vortex ring and a sphere in an inviscid incompressible fluid

- Physics
- 2017

The dynamics of a circular thin vortex ring and a sphere moving along the symmetry axis of the ring in an inviscid incompressible fluid is studied on the basis of Euler’s equations of motion. The…

### Coexistence of Quantum and Classical Flows in Quantum Turbulence in The T=0 Limit.

- PhysicsPhysical review letters
- 2017

A quantitative model of coexisting cascades of quantum and classical energies describes all regimes of the decay of a quantized vortex line of initial density.

### Three-dimensional stability of leapfrogging quantum vortex rings

- PhysicsPhysics of Fluids
- 2018

It is shown by numerical simulations within a regularized Biot-Savart law that dynamical systems of two or three leapfrogging coaxial quantum vortex rings having a core width $\xi$ and initially…

### Instability of a vortex ring due to toroidal normal fluid flow in superfluid 4He

- PhysicsEPL (Europhysics Letters)
- 2020

Vortex rings self-propelling in superfluid 4He are shown to be driven unstable by a toroidal normal fluid flow. This instability has qualitative similarities with the Donnelly-Glaberson instability…

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