Scattering of Line-Ring Vortices in a Superfluid

Villois, Alberto; Salman, Hayder; Proment, Davide

doi:10.1007/s10909-015-1293-y

Cited by 4 publications

(3 citation statements)

References 27 publications

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“…2 as a function of b. We note that R ′ (b) for the smaller ring is qualitatively similar to that observed in recent simulations of the interaction between a vortex ring and an initially straight vortex line 32,47 . Further insight is provided by the amount of energy converted from translational motion of the ring into deformations.…”

Section: Interactions Between Circular Ringssupporting

confidence: 86%

Interactions between unidirectional quantized vortex rings

et al. 2016

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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 states consisting of either one or two deformed rings. The fraction of of energy went into ring deformations and the transverse component of velocity of the rings are analyzed for each regime. We find that rings of very similar radius only reconnect for a very narrow range of the impact parameter, much smaller than would be expected from geometrical cross-section alone. In contrast, when the radii of the rings are very different, the range of impact parameters producing a reconnection is close to the geometrical value. A second type of interaction considered is the collision of circular rings with a highly deformed ring. This type of interaction appears to be a productive mechanism for creating small vortex rings. The simulations are discussed in the context of experiments on colliding vortex rings and quantum turbulence in superfluid helium in the zero temperature limit

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Section: Interactions Between Circular Ringssupporting

confidence: 86%

Interactions between unidirectional quantized vortex rings

et al. 2016

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“…In this work, we start by investigating the interaction between a vortex ring and a straight vortex line. Previous research has only considered the special case where the ring is initially travelling perpendicular to the line [11][12][13][14][15]. It was found that when the ring reconnects with the line it is either absorbed, with the energy transferred to packets of Kelvin waves, or a smaller secondary ring is emitted.…”

Section: Introductionmentioning

confidence: 99%

Quantized Vortex Rings and Loop Solitons

et al. 2020

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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 a vortex. When a ring reconnects with a line, we find that a likely outcome is the formation of a loop soliton. When they collide, loop solitons reconnect as they overlap each other producing either one or two vortex rings. These simulations are relevant for experiments on quantum turbulence in the zero temperature limit where small vortex rings are expected to be numerous. It seems that loop solitons might also commonly occur on vortex lines as they act as transient states between the absorption of a vortex ring before another ring is emitted when the soliton is involved in a reconnection.

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“…This includes physical processes that are involved during vortex reconnections [7][8][9], the nonlinear interaction and the decay of helical excitations of vortex lines in the form of Kelvin waves (KWs) [10][11][12], the interaction of sound with vortices [13], and helicity considerations associated with the dynamics of superfluid vortices [14][15][16]. All of these aspects of the vortex dynamics are encountered during a vortex scattering process [17] and within a turbulent vortex tangle [18][19][20]. It follows that in order to understand aspects of turbulence and the constituent elementary processes involved during the relaxation of a superfluid vortex tangle, it is essential to be able to extract the location of the vortex filaments from high fidelity numerical simulations.…”

Section: Introductionmentioning

confidence: 99%

A vortex filament tracking method for the Gross–Pitaevskii model of a superfluid

Villois¹,

Krstulovic²,

Proment³

et al. 2016

J. Phys. A: Math. Theor.

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We present an accurate and robust numerical method to track quantized vortex lines in a superfluid described by the Gross-Pitaevskii equation. By utilizing the pseudovorticity field of the associated complex scalar order parameter of the superfluid, we are able to track the topological defects of the superfluid and reconstruct the vortex lines which correspond to zeros of the field. Throughout, we assume our field is periodic to allow us to make extensive use of the Fourier representation of the field and its derivatives in order to retain spectral accuracy. We present several case studies to test the precision of the method which include the evaluation of the curvature and torsion of a torus vortex knot, and the measurement of the Kelvin wave spectrum of a vortex line and a vortex ring. The method we present makes no a-priori assumptions on the geometry of the vortices and is therefore applicable to a wide range of systems such as a superfluid in a turbulent state that is characterised by many vortex rings coexisting with sound waves. This allows us to track the positions of the vortex filaments in a dense turbulent vortex tangle and extract statistical information about the distribution of the size of the vortex rings and the inter-vortex separations. In principle, the method can be extended to track similar topological defects arising in other physical systems.

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Scattering of Line-Ring Vortices in a Superfluid

Cited by 4 publications

References 27 publications

Interactions between unidirectional quantized vortex rings

Interactions between unidirectional quantized vortex rings

Quantized Vortex Rings and Loop Solitons

A vortex filament tracking method for the Gross–Pitaevskii model of a superfluid

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