Dissipation of Quantum Turbulence in the Zero Temperature Limit

Walmsley, P. M.; Golov, A. I.; Hall, H. E.; Левченко, А. А.; Vinen, W. F.

doi:10.1103/physrevlett.99.265302

Cited by 167 publications

(266 citation statements)

References 22 publications

Supporting

Mentioning

245

Contrasting

Order By: Relevance

“…It would be interesting to study what happens after turning off the excitation, namely how the spectrum decays with the degeneration of vortices. Such a simulation would give important information regarding experiments, for example, on the dissipative mechanism in the zero-temperature limit [180] or classification of semiclassical turbulence and ultraquantum turbulence [181].…”

Section: Decay Of Qtmentioning

confidence: 99%

Numerical Studies of Quantum Turbulence

2017

View full text Add to dashboard Cite

We review numerical studies of quantum turbulence. Quantum turbulence is currently one of the most important problems in low temperature physics and is actively studied for superfluid helium and atomic Bose-Einstein condensates. A key aspect of quantum turbulence is the dynamics of condensates and quantized vortices. The dynamics of quantized vortices in superfluid helium are described by the vortex filament model, while the dynamics of condensates are described by the Gross-Pitaevskii model. Both of these models are nonlinear, and the quantum turbulent states of interest are far from equilibrium. Hence, numerical studies have been indispensable for studying quantum turbulence. In fact, numerical studies have contributed in revealing the various problems of quantum turbulence. This article reviews the recent developments in numerical studies of quantum turbulence. We start with the motivation and the basics of quantum turbulence and invite readers to the frontier of this research. Though there are many important topics in the quantum turbulence of superfluid helium, this article focuses on inhomogeneous quantum turbulence in a channel, which has been motivated by recent visualization experiments. Atomic Bose-Einstein condensates are a modern issue in quantum turbulence, and this article reviews a variety of topics in the quantum turbulence of condensates e.g. two-dimensional quantum turbulence, weak wave turbulence, turbulence in a spinor condensate, etc., some of which has not been addressed in superfluid helium and paves the novel way for quantum turbulence researches. Finally we discuss open problems.

show abstract

Section: Decay Of Qtmentioning

confidence: 99%

Numerical Studies of Quantum Turbulence

2017

View full text Add to dashboard Cite

show abstract

“…Now consider a homogenous tangle of thickness d. The probability of an excitation's being Andreev-reflected per unit distance traveled through the tangle is Δp=Δx, so the flux of excitations transmitted through the tangle will decay exponentially with distance. The total fraction of excitations that are Andreev-reflected by the tangle is therefore f = 1 − expð−d=λÞ; [9] where the decay length is…”

Section: Andreev Reflection From a Vortex Tanglementioning

confidence: 99%

“…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)(7)(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)(12)(13)) (see the review in ref. 14), mechanical resonator techniques were developed for quantum turbulence (15)(16)(17)(18), and quantum turbulence was studied in dilute gases (19,20); there were many important theoretical developments, for example refs.…”

mentioning

confidence: 99%

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.

View full text Add to dashboard Cite

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...

show abstract

“…QT physics, comprising tangled quantized vortices, is an important research topic in lowtemperature physics [8,9]. Stimulated by recent experiments on both superfluid 3 He and superfluid 4 He, where a few similarities have been observed between quantum and classical turbulence [10][11][12][13][14][15][16][17], studies on QT have entered a new stage where one of the main motivations is to investigate the relationship between quantum and classical turbulence. In particular, the Kolmogorov-Obukhov turbulent kinetic energy spectrum E(k) ∝ k −5/3 has been observed in laboratory experiments on superfluid 4 He similar to that in normal fluids [18].…”

Section: Introductionmentioning

confidence: 99%

Direct energy cascade in two-dimensional compressible quantum turbulence

2010

View full text Add to dashboard Cite

We numerically study two-dimensional quantum turbulence with a Gross-Pitaevskii model. With the energy initially accumulated at large scale, quantum turbulence with many quantized vortex points is generated. Due to the lack of enstrophy conservation in this model, direct energy cascade with a Kolmogorov-Obukhov energy spectrum E(k) ∝ k −5/3 is observed, which is quite different from two-dimensional incompressible classical turbulence in the decaying case. A positive value for the energy flux guarantees a direct energy cascade in the inertial range (from large to small scales). After almost all the energy at the large scale cascades to the small scale, the compressible kinetic energy realizes the thermodynamic equilibrium state without quantized vortices.

show abstract

Dissipation of Quantum Turbulence in the Zero Temperature Limit

Cited by 167 publications

References 22 publications

Numerical Studies of Quantum Turbulence

Numerical Studies of Quantum Turbulence

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

Direct energy cascade in two-dimensional compressible quantum turbulence

Contact Info

Product

Resources

About

Dissipation of Quantum Turbulence in the Zero Temperature Limit

Cited by 167 publications

References 22 publications

Numerical Studies of Quantum Turbulence

Numerical Studies of Quantum Turbulence

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

Direct energy cascade in two-dimensional compressible quantum turbulence

Contact Info

Product

Resources

About

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