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Zmeev, D. E.; Walmsley, P. M.; Golov, A. I.; McClintock, Peter V. E.; Fisher, S. N.; Vinen, W. F.

doi:10.1103/physrevlett.115.155303

Cited by 34 publications

(54 citation statements)

References 41 publications

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“…This theory, as the modified Vinen equation, assumes (rather than infers) the existence of a diffusion process of vortex loops by postulating Brownian character of the vortex loops' dynamics. A superfluid's effective viscosity is also discussed in the different but related problem of the decay of superfluid turbulence, with experimental and numerical values [33][34][35][36] approximately in the range 0.01 < ν ′ /κ < 1 but more concentrated around 0.1.…”

Section: Discussionmentioning

confidence: 99%

Inviscid diffusion of vorticity in low-temperature superfluid helium

et al. 2019

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We numerically study the spatial spreading of quantized vortex lines in low temperature liquid helium. The vortex lines, initially concentrated in a small region, diffuse into the surrounding vortex-free helium, a situation which is typical of many experiments. We find that this spreading, which occurs in the absence of viscosity, emerges from the interactions between the vortex lines, and can be interpreted as a diffusion process with effective coefficient equal to approximately 0.5κ where κ is the quantum of circulation.

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Section: Discussionmentioning

confidence: 99%

Inviscid diffusion of vorticity in low-temperature superfluid helium

et al. 2019

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“…Different grids, Mach numbers M = v 0 /c and resolutions are studied (see Table I). Note that such a periodic configuration mimics recent grid turbulence experiments with 4 He in a ring [21], and similar ideas have been used in 2D to study the possibility of an inverse cascade [25]. We also study (quasi) homogenous and isotropic turbulence generated by the Taylor-Green flow (see Fig.5 below).…”

Section: Introductionmentioning

confidence: 99%

“…When increasing the mean flow, the fluid behind the grid develops a series of instabilities creating a turbulent wake. Such classical experiments have been also performed during the last decade using superfluids as 4 He [21,22] and 3 He [23].…”

Section: Introductionmentioning

confidence: 99%

Grid superfluid turbulence and intermittency at very low temperature

Krstulovic

2016

Phys. Rev. E

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Low-temperature grid generated turbulence is investigated by using numerical simulations of the Gross-Pitaevskii equation. The statistics of regularized velocity increments are studied. Increments of the incompressible velocity are found to be skewed for turbulent states. Results are later confronted with the (quasi) homogeneous and isotropic Taylor-Green flow, revealing the universality of the statistics. For this flow, the statistics are found to be intermittent and a Kolmogorov constant close to the one of classical fluid is found for the second order structure function.

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“…To analyze the energy balance Eq. (14) and to open a way to its numerical solution, we first rewrite it in the dimensionless form. To this end we introduce a dimensionless wavenumber q and a dimensionless energy spectrum E(q):…”

Section: F Dimensionless Form Of the Energy Balance Equationmentioning

confidence: 99%

Theory of energy spectra in superfluid He4 counterflow turbulence

L’vov

Pomyalov

2018

Phys. Rev. B

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In the thermally driven superfluid 4 He turbulence, the counterflow velocity Uns partially decouples normal and superfluid turbulent velocities. Recently we suggested [J. Low Temp. Phys. 187, 497 (2017)] that this decoupling should tremendously increase the turbulent energy dissipation by mutual friction and significantly suppress the energy spectra. Comprehensive measurements of the apparent scaling exponent nexp of the 2 nd -order normal fluid velocity structure function S2(r) ∝ r nexp in the counterflow turbulence [Phys.Rev.B 96, 094511 (2017)] confirmed our scenario of gradual dependence of the turbulence statistics on flow parameters. We develop an analytical theory of the counterflow turbulence, accounting for a two-fold mechanism of this phenomenon: i) a scale-dependent competition between the turbulent velocity coupling by mutual friction and the Uns-induced turbulent velocity decoupling and ii) the turbulent energy dissipation by mutual friction enhanced by the velocity decoupling. The suggested theory predicts the energy spectra for a wide range of flow parameters. The mean exponents of the normal fluid energy spectra m 10 , found without fitting parameters, qualitatively agree with the observed nexp + 1 for T 1.85 K.

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Dissipation of Quasiclassical Turbulence in SuperfluidHe4

Cited by 34 publications

References 41 publications

Inviscid diffusion of vorticity in low-temperature superfluid helium

Inviscid diffusion of vorticity in low-temperature superfluid helium

Grid superfluid turbulence and intermittency at very low temperature

Theory of energy spectra in superfluid He4 counterflow turbulence

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