Decaying Kolmogorov turbulence in a model of superflow

Nore, Caroline; Abid, Malek; Brachet, Marc

doi:10.1063/1.869473

Cited by 233 publications

(342 citation statements)

References 37 publications

(47 reference statements)

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“…The Kolmogorov spectrum is expected for E i kin (t). The failure to obtain a Kolmogorov law in the pure GP model [41,42] is attributable to the following. The simulations showed that E i kin (t) decreases and E c kin (t) increases while the total energy E(t) is conserved because many compressible excitations are created through vortex reconnections [33,34] and disturb the Richardson cascade of quantized vortices.…”

Section: Energy Spectra and Dissipation At Zero Temperaturementioning

confidence: 99%

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Quantum turbulence—from superfluid helium to atomic Bose–Einstein condensates

Tsubota

2009

J. Phys.: Condens. Matter

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This article reviews recent developments in quantum fluid dynamics and quantum turbulence (QT) for superfluid helium and atomic Bose-Einstein condensates. Quantum turbulence was discovered in superfluid 4 He in the 1950s, but the field moved in a new direction starting around the mid 1990s. Quantum turbulence is comprised of quantized vortices that are definite topological defects arising from the order parameter appearing in Bose-Einstein condensation. Hence QT is expected to yield a simpler model of turbulence than does conventional turbulence. A general introduction to this issue and a brief review of the basic concepts are followed by a description of vortex lattice formation in a rotating atomic Bose-Einstein condensate, typical of quantum fluid dynamics. Then we discuss recent developments in QT of superfluid helium such as the energy spectra and dissipative mechanisms at low temperatures, QT created by vibrating structures, and the visualization of QT. As an application of these ideas, we end with a discussion of QT in atomic Bose-Einstein condensates.

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Section: Energy Spectra and Dissipation At Zero Temperaturementioning

confidence: 99%

“…The first study was done by Nore et al using the GP model [41,42]. They numerically solved the GP equation starting from Taylor-Green vortices and followed their time development.…”

Section: Energy Spectra and Dissipation At Zero Temperaturementioning

confidence: 99%

Quantum turbulence—from superfluid helium to atomic Bose–Einstein condensates

Tsubota

2009

J. Phys.: Condens. Matter

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“…Although our numerical analysis will be limited to an isotropic harmonic potential V ext = 1/2mωr 2 , there are several comments and aspects that should be generic for any potential. In particular, due to the problem at hand, we are interested in also posing relevant questions in terms of a hydrodynamic formulation 14,31,32 . This is done as follows.…”

Section: Gross-pitaevskii Quantum Fluidmentioning

confidence: 99%

“…As part of the statistical analysis of both the time evolution and the stationary state properties, we present the spectra of the incompressible part of the kinetic energy. 31 The spectra is calculated as…”

Section: Macroscopic Excitations Stationary States and Their Energymentioning

confidence: 99%

Macroscopic Excitations in Confined Bose–Einstein Condensates, Searching for Quantum Turbulence

2015

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We present a survey of macroscopic excitations of harmonically confined Bose-Einstein condensates (BEC), described by Gross-Pitaevskii (GP) equation, in search of routes to develop quantum turbulence. These excitations can all be created by phase imprinting techniques on an otherwise equilibrium BoseEinstein condensate. We analyze two crossed vortices, two parallel anti-vortices, a vortex ring, a vortex with topological charge Q = 2, and a tangle of 4 vortices. Since GP equation is time-reversal invariant, we are careful to distinguish time intervals in which this symmetry is preserved and those in which rounding errors play a role. We find that the system tends to reach stationary states that may be widely classified as having either an array of vortices with collective excitations at different length scales or an agitated state composed mainly of Bogoliubov phonons.

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“…In a keystone experiment, Maurer and Tabeling measured local fluctuations in a bulk flow of helium with and without superfluid [6]. In both case, they found a Kolmogorov-like spectrum for velocity in the inertial range, which has been confirmed since by numerical simulations [7,8,9]. Recently, we micro-machined and operated a local probe of the vortex line density fluctuations (projected on a plane).…”

Section: Introductionmentioning

confidence: 98%

Probing Vortex Density Fluctuations in Superfluid Turbulence

Roche¹,

Chabaud²,

Français³

et al.

Springer Proceedings Physics

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International audienceQuantum fluids -such as superfluid helium- are recognized as a model-fluids for turbulence research because their dynamics result from the tangle of quantized vortex lines. We report a time-resolved measurements of the local vortex line density in a turbulent quantum flow, here 4He at 1.6 K. The sensor is a micromachined second sound resonator inserted across the flow. Over one decade of inertial range, the spectrum exhibits a -1.6 power law scaling, compatible with a -5/3 exponent

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Decaying Kolmogorov turbulence in a model of superflow

Abstract: International audienc

Cited by 233 publications

References 37 publications

Quantum turbulence—from superfluid helium to atomic Bose–Einstein condensates

Quantum turbulence—from superfluid helium to atomic Bose–Einstein condensates

Macroscopic Excitations in Confined Bose–Einstein Condensates, Searching for Quantum Turbulence

Probing Vortex Density Fluctuations in Superfluid Turbulence

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