Orthogonal and antiparallel vortex tubes and energy cascades in quantum turbulence

Kadokura, Tsuyoshi; Saito, Hiroki

doi:10.1103/physrevfluids.3.104606

Cited by 5 publications

(4 citation statements)

References 52 publications

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“…Three-dimensional QT also shows the direct energy cascade and the Kolmogorov's -5/3 power law, which can support the Richardson cascade process in the system [13,14]. Then the vortices form a tangle and reconnect with each other.…”

Section: Introductionmentioning

confidence: 54%

Phase separation of quantized vortices in two-component miscible Bose-Einstein condensates in a two-dimensional box potential

Han

Tsubota

2019

Phys. Rev. A

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The dynamics of quantized vortices in two-dimensional two-component miscible Bose-Einstein condensates (BECs) trapped by a box potential has been numerically studied using the Gross-Pitaevskii model. We have discovered a novel phenomenon where the vortices of the two components spatially separate from each other, which we call the phase separation of the distribution of vortices. This phase separation occurs when the inter-component coupling is strong. Onsager vortices, on the other hand, are formed in both components when the inter-component coupling is weak. We distinguish between Onsager vortices and phase-separated vortices by two types of effective distances between vortices. The dependence of the transition between the Onsager vortices and phase-separated vortices on the inter-component interaction is also studied. arXiv:1901.01020v1 [cond-mat.quant-gas]

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Section: Introductionmentioning

confidence: 54%

Phase separation of quantized vortices in two-component miscible Bose-Einstein condensates in a two-dimensional box potential

Han

Tsubota

2019

Phys. Rev. A

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“…The self-similarity of quantum turbulence in a wave number space such as Kolmogorov's law was studied [9][10][11][12][13][14][15][16][17]. However, studies on self-similarity in a real space are scarce; an example of such a study is [13,18,19]. We focus on the statistical laws in a real space assuming that quantum turbulence has some self-similarity.…”

Section: Introductionmentioning

confidence: 99%

Statistical laws and self-similarity of vortex rings emitted from a localized vortex tangle in superfluid ${}^4$He

Nakagawa,

Inui,

Tsubota

et al. 2020

Preprint

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We numerically simulated quantum turbulence in superfluid 4 He to investigate the emission of vortex rings from a localized vortex tangle. Turbulence is characterized by some universal statistical laws. Although there are a lot of studies on statistical laws in bulk quantum turbulence, studies in inhomogeneous or localized turbulence is scarce. We first investigate the statistical laws of localized quantum turbulence, referring to two statistical laws deduced from the vibrating wire experiments in [Yano et al., J. Low Temp. Phys. 196, 184 (2019)]. The first law is the Poisson process for the detection of vortex rings; the vortex tangle emits vortex rings with frequencies depending on their sizes. The second law is the power law between the frequency and the size of the emitted vortex rings, showing the self-similarity of the tangle. To study these statistical laws numerically, we developed a system similar to experiments. First, we generate a localized statistically steady vortex tangle by injecting vortex rings from two opposite sides and causing collisions. We investigated the conditions that aid the formation of the tangles and the anisotropy of the emission of vortex rings from the tangle. Second, from the data on emitted rings, we reconstruct the two statistical laws. Results from our numerical investigations are consistent with the known self-similarity of emitted vortex rings and localized tangles.

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“…. More complicated configurations as knots and links have also attracted much attention and have been a subject for many theoretical and experimental works [36][37][38][39][40][41][42][43][44][45][46][47][48][49][50]. Especially interesting are long-lived knotted or linked vortex structures preserving their topology over many typical vortex turnover times.…”

Section: Introductionmentioning

confidence: 99%

Vortex knots on three-dimensional lattices of nonlinear oscillators coupled by space-varying links

Ruban

2019

Phys. Rev. E

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Quantized vortices in a complex wave field described by a defocusing nonlinear Schrödinger equation with a space-varying dispersion coefficient are studied theoretically and compared to vortices in the Gross-Pitaevskii model with external potential. A discrete variant of the equation is used to demonstrate numerically that vortex knots in three-dimensional arrays of oscillators coupled by specially tuned weak links can exist for as long times as many tens of typical vortex turnover periods.

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Orthogonal and antiparallel vortex tubes and energy cascades in quantum turbulence

Cited by 5 publications

References 52 publications

Phase separation of quantized vortices in two-component miscible Bose-Einstein condensates in a two-dimensional box potential

Phase separation of quantized vortices in two-component miscible Bose-Einstein condensates in a two-dimensional box potential

Statistical laws and self-similarity of vortex rings emitted from a localized vortex tangle in superfluid ${}^4$He

Vortex knots on three-dimensional lattices of nonlinear oscillators coupled by space-varying links

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