Vortex Emission from Quantum Turbulence Generated by Vibrating Wire in Superfluid $$^4\hbox {He}$$

Yano, Hideo; Sato, Kōji; Hamazaki, K.; Mushiake, R.; Obara, K.; Ishikawa, Osamu

doi:10.1007/s10909-019-02143-4

Cited by 12 publications

(19 citation statements)

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“…In our previous study [28], we investigated vortex rings emitted from vortex tangles and obtained results qualitatively similar to the experiments in Ref. [27], such as the self-similarity of the vortex emission.…”

Section: Introductionsupporting

confidence: 73%

“…Most efforts of researches have been devoted to thermal counter flow [3,4]. However, in recent years, localized turbulence, such as that generated by oscillating objects, has received considerable attention [16][17][18][19][20][21][22][23][24][25][26][27]. A typical example of an oscillating object is a vibrating wire.…”

Section: Introductionmentioning

confidence: 99%

“…A typical example of an oscillating object is a vibrating wire. Yano et al conducted wire experiments and found some statistical laws for localized vortex tangles [18,23,27]. They generated the vortex tangle by the vibrating wires and detected vortex rings emitted from the tangle.…”

Section: Introductionmentioning

confidence: 99%

“…It may show self-similarity in the real space because the emitted vortex rings provide information of the structure of the tangle where they belong. Yano et al discussed that the power law is related to a fractal dimension of the vortex tangle [27].…”

Section: Introductionmentioning

confidence: 99%

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Internal structure of localized quantized vortex tangles

2021

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In this study, we numerically investigate the internal structure of localized quantum turbulence in superfluid 4 He at zero temperature with the expectation of self-similarity in the real space. In our previous study, we collected the statistics of vortex rings emitted from a localized vortex tangle. As a result, the power law between the minimum size of detectable vortex rings and the emission frequency is obtained, which suggests that the vortex tangle has self-similarity in the real space [Nakagawa et al., Phys. Rev. B 101, 184515 (2020)]. In this work, we study the fractal dimension and vortex length distribution of localized vortex tangles, which can show their self-similar structure. We generate statistically steady and localized vortex tangles by injecting vortex rings with a fixed size. We used two types of injection methods that produce anisotropic or isotropic tangles. The injected vortex rings develop into a localized vortex tangle consisting of vortex rings of various sizes through reconnections (fusions and splitting of vortices). The fractal dimension is an increasing function of the vortex line density and becomes saturated to a value of approximately 1.8, as the density increases sufficiently. The behavior of the fractal dimension was independent of the anisotropy of the vortex tangles. The vortex length distribution indicates the number of vortex rings of each size that are distributed in a tangle. The distribution of the anisotropic vortex tangle shows the power law in the range above the injected vortex size, although the distribution of the isotropic vortex does not.

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Section: Introductionsupporting

confidence: 73%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Internal structure of localized quantized vortex tangles

2021

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“…The solid lines in the figure correspond to exponential distributions, of the form ∝ exp(−t δα /τ ). Since it is known that turbulent tangles emit vortex rings following a similar exponential dependence 14,15 , it appears that the capture process may well be governed by the wind of rings emitted by the local tangle. However, whatever the detailed process, it is worth emphasising again that the capture process is governed by the local vortex tangle density.…”

Section: Referring Tomentioning

confidence: 99%

Nanoscale Real-Time Detection of Quantum Vortices at Millikelvin Temperatures

Guthrie

Kafanov

Noble

et al. 2020

Preprint

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Since we still lack a theory of classical turbulence, attention has focused on the conceptually simpler turbulence in quantum fluids. Can such systems of identical singly-quantized vortices provide a physically accessible "toy model" of the classical counterpart? That said, we have hitherto lacked detectors capable of the real-time, non-invasive probing of the wide range of length scales involved in quantum turbulence. However, we demonstrate here the real-time detection of quantum vortices by a nanoscale resonant beam in superﬂuid 4He at 10 mK. The basic idea is that we can trap a single vortex along the length of a nanobeam and observe the transitions as a vortex is either trapped or released, which we observe through the shift in the resonant frequency of the beam. With a tuning fork source, we can control the ambient vorticity density and follow its influence on the vortex capture and release rates. But, most important, we show that these devices are capable of probing turbulence on the micron scale.

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