Structure of the Surface Vortex Sheet between Two Rotating<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">H</mml:mi><mml:mi mathvariant="normal">e</mml:mi></mml:mrow><mml:mprescripts /><mml:none /><mml:mn>3</mml:mn></mml:mmultiscripts></mml:math>Superfluids

Hänninen, Risto; Blaauwgeers, Rob; Eltsov, V. B.; Finne, Antti; Krusius, M.; Thuneberg, E. V.; Volovik, G. E.

doi:10.1103/physrevlett.90.225301

Cited by 32 publications

(31 citation statements)

References 13 publications

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“…Especially it is clearly seen when it is approaching the dense inner strand of the ring. With time many gravitational vortices may be created, and we may speculate that under the strong tidal forces seen in the F ring these vortices may elongate and join other adjacent vortices leading to a formation of various structures as, for example, a vortex sheet151617.…”

Section: Resultsmentioning

confidence: 99%

Gravitational Vortices And Clump Formation In Saturn's F ring During An Encounter With Prometheus

Sutton

Kusmartsev

2013

Sci Rep

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Saturn rings are most beautiful and dynamic places in the solar system, consisting of ice particles in a constant battle between the gravitational forces of Saturn and its many moons. Fan, spiral, propellers, moonlets and streamer-channels observed by CASSINI in the F-ring have been attributed to encounters by Prometheus on the F ring, with investigations of optical thickness revealing large populations of transient moonlets. Taking into account gravitational interaction between particles and a multi-stranded F-ring structure we show that Prometheus' encounters create rotational flows, like atmospheric vortices and the self-gravity enhances the accelerated growth and size of moonlets. Vortex patches form caustics, which is a primary cause of the transient particle density clumps of 20 km width and 100 km length, and they are elongated to cover an area of 1600 km by 150 km, which may eventually combine into a vortex sheet.

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Section: Resultsmentioning

confidence: 99%

Gravitational Vortices And Clump Formation In Saturn's F ring During An Encounter With Prometheus

Sutton

Kusmartsev

2013

Sci Rep

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“…It is important to emphasize that the turbulence we consider in this paper is generated by classical means, e.g., by a towed grid 11 or by rotation, [5][6][7] but not by a counterflow. In the latter case, the vortex tangle would be unpolarized and neither would we expect K41 spectrum for the scales greater than ᐉ ͑K41 is polarized, see below͒ nor would we expect Kelvin waves to be important for the scales below ᐉ ͑recon-nections would be more important, see Ref.…”

Section: Polarization Of the Vortex Tanglementioning

confidence: 99%

“…This model is relevant for turbulence produced by a thermal counterflow, but not to the case of polarized turbulence produced by classical means. Definitely, in the case when, at the microscopic level, the vortex lines are preferably parallel ͑presumably this is the case for superfluid turbulence in the rotating tank [5][6][7] ͒, the reconnection scenario 16,22 is irrelevant, as we assumed in our approach. This picture is supported by an estimation of the nonlinearity parameter k through comparison of the nonlinear frequency shift ⌬ k with the frequency itself:…”

Section: Weakness Of Turbulence At and Below Scale ഞmentioning

confidence: 99%

Bottleneck crossover between classical and quantum superfluid turbulence

2007

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We consider superfluid turbulence near absolute zero of temperature generated by classical means, e.g. towed grid or rotation but not by counterflow. We argue that such turbulence consists of a polarized tangle of mutually interacting vortex filaments with quantized vorticity. For this system we predict and describe a bottleneck accumulation of the energy spectrum at the classical-quantum crossover scale ℓ. Demanding the same energy flux through scales, the value of the energy at the crossover scale should exceed the Kolmogorov-41 spectrum by a large factor ln 10/3 (ℓ/a0) (ℓ is the mean intervortex distance and a0 is the vortex core radius) for the classical and quantum spectra to be matched in value. One of the important consequences of the bottleneck is that it causes the mean vortex line density to be considerably higher that based on K41 alone, and this should be taken into account in (re)interpretation of new (and old) experiments as well as in further theoretical studies.

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“…As a result one can prepare the state in the rotating cryostat, in which the A-phase skyrmion lattice simulates the macroscopic solid body rotation of superfluid, while the B-phase is still in the static vortexfree state, which is called the Landau state. The A-phase vortex-skyrmions cannot penetrate from the A-to the Bphase, so they form a surface vortex sheet at the phase boundary 28 , Fig. 14 center top.…”

Section: Vortex Sheet At Ab Interfacementioning

confidence: 99%

Superfluids in rotation: Landau–Lifshitz vortex sheets vs Onsager–Feynman vortices

Volovik¹

2015

Phys.-Usp.

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The paper by Landau and Lifshitz on vortex sheets in rotating superfluid appeared in 1955 almost at the same time when Feynman published his paper on quantized vortices in superfluid 4 He. For a long time this paper has been considered as an error. But 40 years later the vortex sheets have been detected in chiral superfluid 3 He-A in the rotating cryostat constructed in the Olli Lounasmaa Low Temperature Laboratory (Otaniemi, Finland). The equation derived by Landau and Lifshits for the distance between the vortex sheets as a function of the angular velocity of rotation has been experimentally confirmed, which is the triumph of the theory. We discuss different configurations of the vortex sheets observed and to be observed in superfluid 3 He-A.

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Structure of the Surface Vortex Sheet between Two RotatingHe3Superfluids

Cited by 32 publications

References 13 publications

Gravitational Vortices And Clump Formation In Saturn's F ring During An Encounter With Prometheus

Gravitational Vortices And Clump Formation In Saturn's F ring During An Encounter With Prometheus

Bottleneck crossover between classical and quantum superfluid turbulence

Superfluids in rotation: Landau–Lifshitz vortex sheets vs Onsager–Feynman vortices

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