Rotating Superfluid Turbulence

Tsubota, Makoto; Araki, Tsunehiko; Barenghi, Carlo F.

doi:10.1103/physrevlett.90.205301

Cited by 74 publications

(51 citation statements)

References 21 publications

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“…Since the instability is determined by the local configuration of the vortex lines, a similar mechanism can be applied to each vortex line in more complicated cases such as vortex lattices and vortex tangles by considering the total velocity field originating from all vortices beyond the localized induction approximation [9,10]. Thus, the DG instability plays an important role in the vortex dynamics in superfluid 4 He and 3 He-B at finite temperatures.…”

Section: Donnelly-glaberson Instability In Superfluid Heliummentioning

confidence: 99%

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Spontaneous radiation and amplification of Kelvin waves on quantized vortices in Bose-Einstein condensates

2009

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We propose a different type of Landau instability in trapped Bose-Einstein condensates by a helically moving environment. In the presence of quantized vortices, the instability can cause spontaneous radiation and amplification of Kelvin waves. This study gives a microscopic understanding of the Donnelly-Glaberson instability which was known as a hydrodynamic instability in superfluid helium. The Donnelly-Glaberson instability can be a powerful tool for observing the dispersion relation of Kelvin waves, vortex reconnections, and quantum turbulence in atomic Bose-Einstein condensates.

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Section: Donnelly-glaberson Instability In Superfluid Heliummentioning

confidence: 99%

“…Then the vortex dynamics will get much complicated due to the strong nonlinear effects. As discussed for superfluid helium [9], the DG instability in vortex lattices can lead to a dense vortex tangle, namely quantum turbulence. A similar scenario is expected for atomic BECs.…”

Section: E Critical Velocity For the Multivortex Statesmentioning

confidence: 99%

Spontaneous radiation and amplification of Kelvin waves on quantized vortices in Bose-Einstein condensates

2009

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“…When the vortex shift distance due to the Kelvin mode becomes to the order of the interspace between vortices, vortex reconnections will occur. As discussed in superfluid helium [11], the DG instability in vortex lattices can lead to a dense vortex tangle, namely quantum turbulence. The similar scenario is expected in atomic BECs too.…”

Section: After the Landau Instabilitymentioning

confidence: 99%

Donnelly-Glaberson instability exciting kelvin waves in atomic Bose-Einstein condensates

Takeuchi

Tsubota

2009

J. Phys.: Conf. Ser.

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Abstract. The Donnelly-Glaberson (DG) instability causes the amplification of Kelvin waves on vortex lines in superfluid4 He and 3 He-B at finite temperatures due to mutual friction between vortex lines and the normal fluid component. In this letter, we theoretically show that the DG instability is possible in atomic Bose-Einstein condensates even at T = 0 K without the normal component. The DG instability in atomic condensates can lead to observe the dispersion relation of Kelvin waves, vortex reconnections and quantum turbulence. IntroductionIt is known that quantized vortices play an important role in the dynamics in superfluid. Kelvin waves, which deform the line into a helix propagating along itself, are a fundamental motion of the vortex lines. Kelvin waves were first discussed in a classical inviscid fluid in the 19th century [1], and recently in superfluid 4 He, 3 He-B [2], and atomic Bose-Einstein condensates (BECs) [3,4,5]. These years it is pointed out that the physics of Kelvin waves is indispensable for understanding quantum turbulence [2]. The atomic BECs are useful to study Kelvin waves since we can observe directly them in experiments [4], and enable us to analyze them from the microscopic viewpoint with the Gross-Pitaevskii (GP) and the Bogoliubov-de Gennes (BdG) models [3,5,6]. This is contrast to helium superfluids, where, because vortex core size is of the order of angstrom, it is difficult to detect Kelvin waves experimentally and vortex dynamics is mainly discussed in a phenomenological model [7]. Thus we expect that the study of Kelvin waves in atomic BECs could provide new physics from the microscopic point of view.In this work, we theoretically study the Donnelly-Glaberson (DG) instability [8] in atomic BECs with the GP and the BdG models. We show that the DG instability can occur even at T = 0 K in atomic BECs. The DG instability at T = 0 K can be expressed as superradiance which causes the amplification of excitations in superfluid through the Landau instability [9]. The DG instability in atomic BECs gives the possibility of observing the dispersion relation of Kelvin waves, vortex reconnections and quantum turbulence.

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“…The decay process has been studied in Refs. [7,8,9]. This paper deals with the growth case of the vortex tangle.…”

Section: Introductionmentioning

confidence: 99%

Vortex Tangle Dynamics under the Effect of Mutual Friction in Superfluid HeII

Alamri¹

2014

Appl. Math. Inf. Sci.

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Abstract:We have studied numerically the vortex tangle under both counterflow and attending of mutual friction by using localinduction approximation model (LIA). We find that the vortex lines are grown by the effect of normal fluid velocity in the existence of mutual friction. Many numerical experiments are performed to calculate the vortex filaments development in superfluid helium II. We explained how the total length density, the number of vortex points, the velocity, reconnection events and average inverse radius of curvature are affected by both counterflow and temperature. We find that the vortex rings extend fast and the helical disturbances of vortex tangle increases as long as the temperature increases. The cubic box with periodic boundary conditions is employed for all our numerical simulations.

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Rotating Superfluid Turbulence

Cited by 74 publications

References 21 publications

Spontaneous radiation and amplification of Kelvin waves on quantized vortices in Bose-Einstein condensates

Spontaneous radiation and amplification of Kelvin waves on quantized vortices in Bose-Einstein condensates

Donnelly-Glaberson instability exciting kelvin waves in atomic Bose-Einstein condensates

Vortex Tangle Dynamics under the Effect of Mutual Friction in Superfluid HeII

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