Instability of a Vortex Array in He II

Glaberson, W. I.; Johnson, W. W.; Ostermeier, R.M.

doi:10.1103/physrevlett.33.1197

Cited by 94 publications

(112 citation statements)

References 8 publications

Supporting

Mentioning

106

Contrasting

Order By: Relevance

“…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%

“…It is revealed that helical vortex modes (Kelvin waves) [3] can be spontaneously radiated and amplified due to the Landau instability. From the viewpoint of thermodynamics, this phenomena could be called the generalized DonnellyGlaberson (DG) instability, which was phenomenologically understood as hydrodynamic instability causing the amplification of Kelvin waves on vortex lines in superfluid helium [4,5]. This paper is organized as follows.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

2009

View full text Add to dashboard Cite

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.

show abstract

“…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%

Section: Introductionmentioning

confidence: 99%

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

2009

View full text Add to dashboard Cite

show abstract

“…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.…”

Section: Introductionmentioning

confidence: 99%

“…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.…”

mentioning

confidence: 99%

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

Takeuchi

Tsubota

2009

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

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.

show abstract

“…One particular consequence is that, if the meridional circulation is fast enough, a vortex tangle (superfluid turbulence) is alternatively created and destroyed in the outer core of the star (and indeed any spherical container). For example, before a glitch, differential rotation in the outer core drives a non-zero, poloidal counterflow which excites the Donnelly-Glaberson instability (DGI) (Glaberson, Johnson & Ostermeier 1974;Swanson, Barenghi & Donnelly 1983;Tsubota, Araki & Barenghi 2003), and the vortices evolve into an isotropic tangle of reconnecting loops. In this regime, the friction force is of GM form, coupling the normal and superfluid components loosely.…”

mentioning

confidence: 99%

Superfluid spherical Couette flow

et al. 2008

View full text Add to dashboard Cite

We solve numerically for the first time the two-fluid Hall-Vinen-BekarevichKhalatnikov (HVBK) equations for an He-II-like superfluid contained in a differentially rotating spherical shell, generalizing previous simulations of viscous spherical Couette flow (SCF) and superfluid Taylor-Couette flow. The simulations are conducted for Reynolds numbers in the range 1 × 10 2 6 Re 6 3 × 10 4 , rotational shear 0.1 6 Ω/Ω 6 0.3, and dimensionless gap widths 0.2 6 δ 6 0.5. The system tends towards a stationary but unsteady state, where the torque oscillates persistently, with amplitude and period determined by δ and Ω/Ω. In axisymmetric superfluid SCF, the number of meridional circulation cells multiplies as Re increases, and their shapes become more complex, especially in the superfluid component, with multiple secondary cells arising for Re > 10 3 . The torque exerted by the normal component is approximately three times greater in a superfluid with anisotropic Hall-Vinen (HV) mutual friction than in a classical viscous fluid or a superfluid with isotropic Gorter-Mellink (GM) mutual friction. HV mutual friction also tends to 'pinch' meridional circulation cells more than GM mutual friction. The boundary condition on the superfluid component, whether no slip or perfect slip, does not affect the large-scale structure of the flow appreciably, but it does alter the cores of the circulation cells, especially at lower Re. As Re increases, and after initial transients die away, the mutual friction force dominates the vortex tension, and the streamlines of the superfluid and normal fluid components increasingly resemble each other. In non-axisymmetric superfluid SCF, three-dimensional vortex structures are classified according to topological invariants. For misaligned spheres, the flow is focal throughout most of its volume, except for thread-like zones where it is strain-dominated near the equator (inviscid component) and poles (viscous component). A wedge-shaped isosurface of vorticity rotates around the equator at roughly the rotation period. For a freely precessing outer sphere, the flow is equally strain-and vorticity-dominated throughout its volume. Unstable focus/contracting points are slightly more common than stable node/saddle/saddle points in the viscous component, but not in the inviscid component. Isosurfaces of positive and negative vorticity form interlocking poloidal ribbons (viscous component) or toroidal tongues (inviscid component) which attach and detach at roughly the rotation period. 222

show abstract

Instability of a Vortex Array in He II

Cited by 94 publications

References 8 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

Superfluid spherical Couette flow

Contact Info

Product

Resources

About