Generation, evolution, and decay of pure quantum turbulence: A full Biot-Savart simulation

Fujiyama, Shoji; Mitani, Akira; Tsubota, Makoto; Bradley, D. I.; Fisher, S. N.; Guénault, A. M.; Haley, R. P.; Pickett, G. R.; Tsepelin, V.

doi:10.1103/physrevb.81.180512

Cited by 33 publications

(48 citation statements)

References 21 publications

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“…These have a greater chance of further recombinations resulting in the production of a vortex tangle (quantum turbulence). The above scenario was first inferred from measurements of the decay of the vortex signal (54) and was confirmed by numerical simulations (56). We can obtain more detailed information from the steady-state regime by studying fluctuations, as discussed below.…”

Section: Spatial Correlations Of Vortex Ringsmentioning

confidence: 98%

“…The existence of such a tangle was first inferred from the decay behavior of the vortex signals (55) and was later observed in dedicated computer simulations (56). The peak is quite broad but is clearly shifted to negative time delays.…”

Section: Spatial Correlations Of Quantum Turbulencementioning

confidence: 99%

“…As the grid velocity increases, vortex rings are emitted at a higher rate and ring collisions become more frequent. On collision, larger rings may be generated along with high-frequency Kelvin waves (56). The larger rings move more slowly and have a greater probability of further collisions with the smaller rings, thus acting as the seeds for quantum turbulence.…”

Section: Spatial Correlations Of Vortex Ringsmentioning

confidence: 99%

“…At slightly larger grid velocities (ring production rates) simulations (56) show that the larger seed rings become tangled, resulting in quantum turbulence. In Fig.…”

Section: Spatial Correlations Of Quantum Turbulencementioning

confidence: 99%

“…The larger rings move more slowly and have a greater probability of further collisions with the smaller rings, thus acting as the seeds for quantum turbulence. Computer simulations (56) show that these large "seed" rings have very irregular shapes and a broad range of sizes. This should produce a spreading of the cross-correlation toward larger negative time delays because the rings take longer to pass from one sensor to another.…”

Section: Spatial Correlations Of Vortex Ringsmentioning

confidence: 99%

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Andreev reflection, a tool to investigate vortex dynamics and quantum turbulence in ³ He-B

Fisher

Jackson

Sergeev

et al. 2014

Proc. Natl. Acad. Sci. U.S.A.

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Andreev reflection of quasiparticle excitations provides a sensitive and passive probe of flow in superfluid 3 He-B. It is particularly useful for studying complex flows generated by vortex rings and vortex tangles (quantum turbulence). We describe the reflection process and discuss the results of numerical simulations of Andreev reflection from vortex rings and from quantum turbulence. We present measurements of vortices generated by a vibrating grid resonator at very low temperatures. The Andreev reflection is measured using an array of vibrating wire sensors. At low grid velocities, ballistic vortex rings are produced. At higher grid velocities, the rings collide and reconnect to produce quantum turbulence. We discuss spatial correlations of the fluctuating vortex signals measured by the different sensor wires. These reveal detailed information about the formation of quantum turbulence and about the underlying vortex dynamics. Quantum turbulence in superfluid 4 He has been studied for many decades (3-5). There has been a great deal of renewed interest in quantum turbulence in recent years owing to several factors: quantum turbulence was discovered in superfluid 3 He (6-8), techniques were developed to extend the study of quantum turbulence in superfluid 4 He to very low temperatures (9, 10), imaging techniques were developed to visualize superfluid turbulence at higher temperatures (11-13) (see the review in ref. 14), mechanical resonator techniques were developed for quantum turbulence (15-18), and quantum turbulence was studied in dilute gases (19,20); there were many important theoretical developments, for example refs. 21-26, and numerical methods were enormously improved (27-29) to complement and better interpret experimental results.In this article, we discuss quantum turbulence generated by vibrating grids in superfluid 3 He-B at low temperatures, where the normal fluid component is very small. The primary thermal excitations in 3 He are quasiparticle and quasihole excitations (30). At low temperatures, the excitation mean free path between collisions vastly exceeds the experimental dimensions. In this ballistic regime, excitations move independently and normally scatter only with the container walls. The normal fluid concept no longer applies because there is no collective motion of excitations.In addition to normal scattering, excitations can also undergo Andreev reflection. Andreev scattering produces nearly perfect retroreflection of excitations with very little momentum transfer: Quasiparticles become quasiholes, and vice versa. This provides an ideal probe for vortices and quantum turbulence at low temperatures. Andreev Scattering from Superfluid FlowThe dispersion curve for excitations is shown in Fig. 1A. The excitation group velocity v g = dE=dp is parallel to the momentum for quasiparticles that have p > p F , where p F is the Fermi momentum and is antiparallel to the momentum for quasiholes that have p < p F . The dispersion curve is tied to the reference frame of the superfluid. So, accordi...

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Section: Spatial Correlations Of Vortex Ringsmentioning

confidence: 98%

Section: Spatial Correlations Of Quantum Turbulencementioning

confidence: 99%

Section: Spatial Correlations Of Vortex Ringsmentioning

confidence: 99%

“…At slightly larger grid velocities (ring production rates) simulations (56) show that the larger seed rings become tangled, resulting in quantum turbulence. In Fig.…”

Section: Spatial Correlations Of Quantum Turbulencementioning

confidence: 99%

Section: Spatial Correlations Of Vortex Ringsmentioning

confidence: 99%

See 3 more Smart Citations

Andreev reflection, a tool to investigate vortex dynamics and quantum turbulence in ³ He-B

Fisher

Jackson

Sergeev

et al. 2014

Proc. Natl. Acad. Sci. U.S.A.

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Charged Tangles of Quantized Vortices in Superfluid 4He

2010

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We show that turbulence in superfluid 4 He at low temperatures can be generated and probed by injected ions trapped on vortex cores. The results of our recent experiments, in which negative ions were injected during short and long periods, in different quantities, and into different applied electric fields, are outlined. Three very different mechanisms of vortex-assisted transport of trapped ions were observed: one is on isolated vortex rings while two others are associated with tangles of vortex lines. It seems there are two different types of vortex tangles that can be characterized by the velocity of ion motion through them: a drifting polarized tangle in a low-dissipation state that mainly advects trapped ions, and a more isotropic tangle in a highly-dissipative state, sustained by a continuous forcing by the ion current in an applied electric field, through which trapped ions move rapidly.

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Time-of-Flight Experiments of Vortex Rings Propagating from Turbulent Region of Superfluid 4He at High Temperature

et al. 2010

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Generation, evolution, and decay of pure quantum turbulence: A full Biot-Savart simulation

Cited by 33 publications

References 21 publications

Andreev reflection, a tool to investigate vortex dynamics and quantum turbulence in ³ He-B

Andreev reflection, a tool to investigate vortex dynamics and quantum turbulence in ³ He-B

Charged Tangles of Quantized Vortices in Superfluid 4He

Time-of-Flight Experiments of Vortex Rings Propagating from Turbulent Region of Superfluid 4He at High Temperature

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Generation, evolution, and decay of pure quantum turbulence: A full Biot-Savart simulation

Cited by 33 publications

References 21 publications

Andreev reflection, a tool to investigate vortex dynamics and quantum turbulence in 3 He-B

Andreev reflection, a tool to investigate vortex dynamics and quantum turbulence in 3 He-B

Charged Tangles of Quantized Vortices in Superfluid 4He

Time-of-Flight Experiments of Vortex Rings Propagating from Turbulent Region of Superfluid 4He at High Temperature

Contact Info

Product

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Andreev reflection, a tool to investigate vortex dynamics and quantum turbulence in ³ He-B

Andreev reflection, a tool to investigate vortex dynamics and quantum turbulence in ³ He-B