Origin of the inverse energy cascade in two-dimensional quantum turbulence

Skaugen, Audun; Angheluta, Luiza

doi:10.1103/physreve.95.052144

Cited by 17 publications

(15 citation statements)

References 24 publications

(44 reference statements)

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“…The successes of the recent experimental developments have also spawned novel theoretical investigations [13,[34][35][36][37][38][39][40][41][42][43][44][45]. In addition to visual inspection, the presence of Onsager vortices has been associated with indicators such as the vortex dipole moment [13,34], vortex clustering measures [7,8,36,37,40], or a peak in the power spectral density of incompressible kinetic energy [8,13,38,46].…”

Section: Introductionmentioning

confidence: 99%

Einstein–Bose condensation of Onsager vortices

2018

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We have studied statistical mechanics of a gas of vortices in two dimensions. We introduce a new observable-a condensate fraction of Onsager vortices-to quantify the emergence of the vortex condensate. The condensation of Onsager vortices is most transparently observed in a single vortex species system and occurs due to a competition between solid body rotation (see vortex lattice) and potential flow (see multiple quantum vortex state). We propose an experiment to observe the condensation transition of the vortices in such a single vortex species system.

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Section: Introductionmentioning

confidence: 99%

Einstein–Bose condensation of Onsager vortices

2018

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“…[22] forcing was introduced by essentially reversing the sign of γ. Adapting our rejection-sampling method to dynamically introduce vorticity instead could provide a more physical model, roughly corresponding to turbulence generated by a stirring grid in a 2D quantum fluid [55][56][57]. Studying the forced case would allow exploration of conditions under which both cascades coexist in the point-vortex system, and of intermittency effects [50].…”

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confidence: 99%

Enstrophy Cascade in Decaying Two-Dimensional Quantum Turbulence

Reeves

Billam

et al. 2017

Phys. Rev. Lett.

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We report evidence for an enstrophy cascade in large-scale point-vortex simulations of decaying two-dimensional quantum turbulence. Devising a method to generate quantum vortex configurations with kinetic energy narrowly localized near a single length scale, the dynamics are found to be well characterized by a superfluid Reynolds number Re_{s} that depends only on the number of vortices and the initial kinetic energy scale. Under free evolution the vortices exhibit features of a classical enstrophy cascade, including a k^{-3} power-law kinetic energy spectrum, and constant enstrophy flux associated with inertial transport to small scales. Clear signatures of the cascade emerge for N≳500 vortices. Simulating up to very large Reynolds numbers (N=32 768 vortices), additional features of the classical theory are observed: the Kraichnan-Batchelor constant is found to converge to C^{'}≈1.6, and the width of the k^{-3} range scales as Re_{s}^{1/2}.

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“…Besides, superfluid vortices are at the core of the superfluid property of the matter in general. To cite some selected examples of emergent phenomenon involving quantum vortices, we can mention the Abrikosov lattices [134,135], the Onsager -Kolmogorov inverse energy cascade in quantum turbulence [136][137][138][139], the vortex reconnection process [140], the pulsar glitches [141,142], etc. It turns out that experimental realizations of such systems in dilute ultracold Fermi systems are currently investigated [59].…”

Section: B Single Superfluid Vortex State Propertiesmentioning

confidence: 99%

Local energy density functional for superfluid Fermi gases from effective field theory

Boulet,

Wlazłowski,

Magierski

2022

Preprint

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Over the last two decades, many studies in the Density Functional Theory context revealed new aspects and properties of strongly correlated superfluid quantum systems in numerous configurations that can be simulated in experiments. This was made possible by the generalization of the Local Density Approximation to superfluid systems by Bulgac in [Phys. Rev. C 65, 051305, (2002), Phys. Rev. A 76, 040502, (2007]. In the presented work, we propose an extension of the Superfluid Local Density Approximation systematically improvable and applicable to a large range of manybody quantum problems getting rid of the fitting procedures of the functional parameters. It turns out that only the knowledge of the density dependence of the quasi-particle properties, namely the chemical potential, the effective mass, and the pairing gap function, are enough to obtain an explicit and accurate local functional of the densities without any adjustment a posteriori. This opens the way towards an Effective Field Theory formulation of the Density Functional Theory in the sense that we obtain a universal expansion of the functional parameters entering in the theory as a series in pairing gap function. Finally, we discuss possible applications of the developed approach allowing precise analysis of experimental observations. In that context, we focus our applications on the static structure properties of superfluid vortices.

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Origin of the inverse energy cascade in two-dimensional quantum turbulence

Cited by 17 publications

References 24 publications

Einstein–Bose condensation of Onsager vortices

Einstein–Bose condensation of Onsager vortices

Enstrophy Cascade in Decaying Two-Dimensional Quantum Turbulence

Local energy density functional for superfluid Fermi gases from effective field theory

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