Quantum turbulence: Theoretical and numerical problems

Nemirovskii, Sergey K.

doi:10.1016/j.physrep.2012.10.005

Cited by 211 publications

(203 citation statements)

References 330 publications

Supporting

Mentioning

198

Contrasting

Unclassified

Order By: Relevance

“…This was done by solving the nonlinear Schrödinger equation (8) by the methods of static [36] and dynamic [37] simulations. The dissipation is taken into account by introducing the phenomenological factor γ [38,39]. This dissipation slightly diminishes the number of atom in time, although not more than 10%.…”

Section: Perturbation Of Bose-einstein Condensatementioning

confidence: 99%

Realization of inverse Kibble–Zurek scenario with trapped Bose gases

2015

View full text Add to dashboard Cite

We show that there exists the inverse Kibble-Zurek scenario, when we start with an equilibrium system with broken symmetry and, by imposing perturbations, transform it to a strongly nonequilibrium symmetric state through the sequence of states with spontaneously arising topological defects. We demonstrate the inverse Kibble-Zurek scenario both experimentally, by perturbing the Bose-Einstein condensate of trapped 87 Rb atoms, and also by accomplishing numerical simulations for the same setup as in the experiment, the experimental and numerical results being in good agreement with each other.

show abstract

Section: Perturbation Of Bose-einstein Condensatementioning

confidence: 99%

Realization of inverse Kibble–Zurek scenario with trapped Bose gases

2015

View full text Add to dashboard Cite

show abstract

“…Here, by simple-fluid, I mean an ordinary Navier-Stokes fluid that obeys a linear stress/strain constitutive law. Indeed, above the superfluid transition temperature T c , and for sufficiently small frequencies of mechanical excitation, 4 He molecules reach a local thermodynamic equilibrium and their out-of-equilibrium large scale physics are very well described by simple-fluid hydrodynamics (hence, the origin of the "normalfluid" terminology). Below the superfluid transition, however, the situation is different.…”

Section: Mesoscopic Model Of Finite Temperature Superfluidsmentioning

confidence: 99%

“…κ = h/m = 9.97 × 10 −4 cm 2 /s is the quantum of circulation, with m being the mass of the particles comprising the superfluid (here, 4 He molecules). Physically, the Magnus force is similar to the Lorentz force in the magnetostatic interaction between electrically conducting wires.…”

Section: A Langevin Vortex Dynamicsmentioning

confidence: 99%

“…Although the superfluid is inviscid, it is capable of supporting vortical modes of flow via the appearance of topological defects, also known as, quantized vortices. A complicated tangle of discrete, quantized vortices is refered to as "superfluid turbulence," [2][3][4][5][6][7] and its hydrodynamic description made necessary an extension of the Landau-Tisza model. Notable such extensions are the Hall-Vinen and Gorter-Mellink equations of two-fluid hydrodynamics with vortices.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Energy spectra of finite temperature superfluid helium-4 turbulence

Kivotides

2014

Physics of Fluids

View full text Add to dashboard Cite

This version is available at https://strathprints.strath.ac.uk/55195/ Strathprints is designed to allow users to access the research output of the University of Strathclyde. Unless otherwise explicitly stated on the manuscript, Copyright © and Moral Rights for the papers on this site are retained by the individual authors and/or other copyright owners. Please check the manuscript for details of any other licences that may have been applied. You may not engage in further distribution of the material for any profitmaking activities or any commercial gain. You may freely distribute both the url (https://strathprints.strath.ac.uk/) and the content of this paper for research or private study, educational, or not-for-profit purposes without prior permission or charge.Any correspondence concerning this service should be sent to the Strathprints administrator: strathprints@strath.ac.ukThe Strathprints institutional repository (https://strathprints.strath.ac.uk) is a digital archive of University of Strathclyde research outputs. It has been developed to disseminate open access research outputs, expose data about those outputs, and enable the management and persistent access to Strathclyde's intellectual output. A mesoscopic model of finite temperature superfluid helium-4 based on coupled Langevin-Navier-Stokes dynamics is proposed. Drawing upon scaling arguments and available numerical results, a numerical method for designing well resolved, mesoscopic calculations of finite temperature superfluid turbulence is developed. The application of model and numerical method to the problem of fully developed turbulence decay in helium II, indicates that the spectral structure of normal-fluid and superfluid turbulence is significantly more complex than that of turbulence in simplefluids. Analysis based on a forced flow of helium-4 at 1.3 K, where viscous dissipation in the normal-fluid is compensated by the Lundgren force, indicate three scaling regimes in the normal-fluid, that include the inertial, low wavenumber, Kolmogorov k −5/3 regime, a sub-turbulence, low Reynolds number, fluctuating k −2.2 regime, and an intermediate, viscous k −6 range that connects the two. The k −2.2 regime is due to normal-fluid forcing by superfluid vortices at high wavenumbers. There are also three scaling regimes in the superfluid, that include a k −3 range that corresponds to the growth of superfluid vortex instabilities due to mutual-friction action, and an adjacent, low wavenumber, k −5/3 regime that emerges during the termination of this growth, as superfluid vortices agglomerate between intense normal-fluid vorticity regions, and weakly polarized bundles are formed. There is also evidence of a high wavenumber k −1 range that corresponds to the probing of individual-vortex velocity fields. The Kelvin waves cascade (the main dynamical effect in zero temperature superfluids) appears to be damped at the intervortex space scale. C 2014 AIP Publishing LLC.

show abstract

“…Though there are several existing review articles on QT [1,2,3,4,5,6], this articles focuses on the numerical studies of QT. The contents of this article are as follows.…”

Section: Introductionmentioning

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

Quantum turbulence: Theoretical and numerical problems

Cited by 211 publications

References 330 publications

Realization of inverse Kibble–Zurek scenario with trapped Bose gases

Realization of inverse Kibble–Zurek scenario with trapped Bose gases

Energy spectra of finite temperature superfluid helium-4 turbulence

Numerical Studies of Quantum Turbulence

Contact Info

Product

Resources

About