Turbulent Dynamics in Rotating Helium Superfluids

Eltsov, V. B.; Graaf, R. de; Hänninen, Risto; Krusius, M.; Solntsev, R. E.; L'vov, V. S.; Golov, A. I.; Walmsley, P. M.

doi:10.1016/s0079-6417(08)00002-4

Cited by 27 publications

(28 citation statements)

References 132 publications

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“…Krusius et al conducted a series of experimental studies on QT in superfluid 3 He-B under rotation [61][62][63][64][65][66] and observed the strong temperature-dependent transition of a few seed vortices to turbulence. A seed vortex can develop into turbulence when the temperature is lower than the onset temperature T on , whereas the seed vortex does not lead to turbulence above T on .…”

Section: Temperature-dependent Transition To Qtmentioning

confidence: 99%

Quantum Turbulence

Tsubota

2008

J. Phys. Soc. Jpn.

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The present article reviews the recent developments in the physics of quantum turbulence. Quantum turbulence (QT) was discovered in superfluid 4 He in the 1950s, and the research has tended toward a new direction since the mid 90s. The similarities and differences between quantum and classical turbulence have become an important area of research. QT is comprised of quantized vortices that are definite topological defects, being expected to yield a model of turbulence that is much simpler than the classical model. The general introduction of the issue and a brief review on classical turbulence are followed by a description of the dynamics of quantized vortices. Then, we discuss the energy spectrum of QT at very low temperatures. At low wavenumbers, the energy is transferred through the Richardson cascade of quantized vortices, and the spectrum obeys the Kolmogorov law, which is the most important statistical law in turbulence; this classical region shows the similarity to conventional turbulence. At higher wavenumbers, the energy is transferred by the Kelvin-wave cascade on each vortex. This quantum regime depends strongly on the nature of each quantized vortex. The possible dissipation mechanism is discussed. Finally, important new experimental studies, which include investigations into temperaturedependent transition to QT, dissipation at very low temperatures, QT created by vibrating structures, and visualization of QT, are reviewed. The present article concludes with a brief look at QT in atomic BoseEinstein condensates.

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Section: Temperature-dependent Transition To Qtmentioning

confidence: 99%

Quantum Turbulence

Tsubota

2008

J. Phys. Soc. Jpn.

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“…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

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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.

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“…This phenomenon was observed in many experiments, from the quantum turbulence created by the heat load [14,15,23] up to turbulent front of uniform vorticity in a rotating 3 He [24,25]. A key assumption is that the propagation of the front occurs in the manner of a diffusion, with the source of the vortices behind the front.…”

Section: Propagation Of the Turbulent Frontsmentioning

confidence: 91%

Method of trial distribution function for quantum turbulence

Nemirovskii

2012

Low Temperature Physics

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Studying quantum turbulence the necessity of calculation the various characteristics of the vortex tangle (VT) appears. Some of "crude" quantities can be expressed directly via the total length of vortex lines (per unit of volume) or the vortex line density L(t) and the structure parameters of the VT. Other more "subtle" quantities require knowledge of the vortex line configurations {s(ξ,t)}. Usually, the corresponding calculations are carried out with the use of more or less truthful speculations concerning arrangement of the VT. In this paper we review other way to solution of this problem. It is based on the trial distribution functional (TDF) in space of vortex loop configurations. The TDF is constructed on the basis of well established properties of the vortex tangle. It is designed to calculate various averages taken over stochastic vortex loop configurations. In this paper we also review several applications of the use this model to calculate some important characteristics of the vortex tangle. In particular we discussed the average superfluid mass current J induced by vortices and its dynamics. We also describe the diffusion-like processes in the nonuniform vortex tangle and propagation of turbulent fronts.

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Turbulent Dynamics in Rotating Helium Superfluids

Cited by 27 publications

References 132 publications

Quantum Turbulence

Quantum Turbulence

Direct energy cascade in two-dimensional compressible quantum turbulence

Method of trial distribution function for quantum turbulence

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