Breathers on Quantized Superfluid Vortices

Salman, Hayder

doi:10.1103/physrevlett.111.165301

Cited by 41 publications

(46 citation statements)

References 41 publications

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“…On the other hand, larger loops correspond to small amplitude Kelvin waves being produced on the line vortex. These observations have direct relevance to our understanding of the cross-over range of scales in superfluid turbulence where the emission of vortex rings due to the direct energy cascade as discussed by Svistunov 15 or due to breather excitations as reported by Salman 13 turns out to be very important. Indeed, the production of large amplitude Kelvin waves can result in the emission of further rings following self-reconnections on a vortex line.…”

Section: Discussionmentioning

confidence: 60%

Scattering of Line-Ring Vortices in a Superfluid

Villois¹,

Salman²,

Proment³

2015

J Low Temp Phys

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We study the scattering of vortex rings by a superfluid line vortex using the Gross-Pitaevskii equation in a parameter regime where a hydrodynamic description based on a vortex filament approximation is applicable. By using a vortex extraction algorithm, we are able to track the location of the vortex ring as a function of time. Using this, we show that the scattering of the vortex ring in our Gross-Pitaevskii simulations is well captured by the local induction approximation of a vortex filament model for a wide range of impact parameters. The scattering of a vortex ring by a line vortex is characterised by the initial offset of the centre of the ring from the axis of the vortex. We find that a strong asymmetry exists in the scattering of a ring as a function of this initial scattering parameter.

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Section: Discussionmentioning

confidence: 60%

Scattering of Line-Ring Vortices in a Superfluid

Villois¹,

Salman²,

Proment³

2015

J Low Temp Phys

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“…Note that we do not discuss the possibility of self-reconnections that can completely change the structure of the vortex filament [38]. This is because our Kelvin wave model consists of a single helical vortex filament, and there is no mechanism for this to break and then reconnect.…”

Section: Time Evolution Of Kelvin Waves On a Quantum Vortex Filamentmentioning

confidence: 99%

The Biot–Savart description of Kelvin waves on a quantum vortex filament in the presence of mutual friction and a driving fluid

Gorder

2015

Proc. R. Soc. A.

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We study the dynamics of Kelvin waves along a quantum vortex filament in the presence of mutual friction and a driving fluid while taking into account non-local effects due to Biot-Savart integrals. The Schwarz model reduces to a nonlinear and nonlocal dynamical system of dimension three, the solutions of which determine the translational and rotational motion of the Kelvin waves, as well as the amplification or decay of such waves. We determine the possible qualitative behaviours of the resulting Kelvin waves. It is well known from experimental and theoretical studies that the Donnelly-Glaberson instability plays a role on the amplification or decay of Kelvin waves in the presence of a driving normal fluid velocity, and we obtain the relevant stability criterion for the non-local model. While the stability criterion is the same for local and non-local models when the wavenumber is sufficiently small, we show that large differences emerge for the large wavenumber case (tightly coiled helices). The results demonstrate that non-local effects have a stabilizing effect on the Kelvin waves, and hence larger normal fluid velocities are required for amplification of large wavenumber Kelvin waves. Additional qualitative differences between the local and non-local models are explored.

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“…The center of the vortex is the point at which |∇u × ∇v| is maximal, and this quantity is localized in the vortex core [13]. To provide initial conditions for a vortex string of an arbitrary knot, given by any nonintersecting closed curve K, we apply the method introduced in [9] and adapted from [14]. This involves computing the initial fields u(r,0) and v(r,0) from a scalar potential for a vector field defined by a Biot-Savart integral along the curve K. For most of our investigation we will restrict the discussion to the case where K is a torus knot.…”

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confidence: 99%

Length of excitable knots

Maucher

Sutcliffe

2017

Phys. Rev. E

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Breathers on Quantized Superfluid Vortices

Cited by 41 publications

References 41 publications

Scattering of Line-Ring Vortices in a Superfluid

Scattering of Line-Ring Vortices in a Superfluid

The Biot–Savart description of Kelvin waves on a quantum vortex filament in the presence of mutual friction and a driving fluid

Length of excitable knots

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