Macroscopic dynamics of the vortex tangle in He II

Nemirovskii, Sergey K.; Stamm, G.; Fiszdon, W.

doi:10.1103/physrevb.48.7338

Cited by 16 publications

(10 citation statements)

References 16 publications

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“…However, detailed comparisons for them are very scarce [7,9]. This was due, in part, to the fact that both of them lead to the same form for the steady state results, namely L ∼ V 2 , and that their unsteady solutions are not sufficiently different to reach a definitive conclusion on their relative merit.…”

Section: Discussionmentioning

confidence: 99%

“…Note however that another version of (1.1) is the so-called alternative Vinen's equation, which is also admissible on dimensional grounds [7]- [9]:…”

Section: Introductionmentioning

confidence: 99%

“…This was carried out by Vinen himself (see sections 6 and 7 of Ref. [7]) and in more detail by Nemirovskii et al [9] without arriving to definite conclusions, because the predictions of (1.1) and (1.2) in the domain of available experimental results are very similar to each other.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Alternative Vinen equation and its extension to rotating counterflow superfluid turbulence

Sciacca

Mongiovı̀

Jou

2008

Physica B: Condensed Matter

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Two alternative Vinen's evolution equations for the vortex line density L in counterflow superfluid turbulence, are physically admissible and lead to analogous results in steady states. In Phys. Rev. B, 69, 094513 (2004) the most used of them was generalized to counterflow superfluid turbulence in rotating containers. Here, the analogous generalization for the alternative Vinen's equation is proposed. Both generalized Vinen's equations are compared with the experimental results, not only in steady-states but also in some unsteady situations. From this analysis follows that the solutions of the alternative Vinen's equation tend significantly faster to the corresponding final steady state values than the solutions of the usual Vinen's equation, and that the latter seems more suitable for the description of the experimental available data.

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Section: Discussionmentioning

confidence: 99%

“…Note however that another version of (1.1) is the so-called alternative Vinen's equation, which is also admissible on dimensional grounds [7]- [9]:…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Alternative Vinen equation and its extension to rotating counterflow superfluid turbulence

Sciacca

Mongiovı̀

Jou

2008

Physica B: Condensed Matter

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“…In fact, in rotating superfluids, it is known that some quantized vortices (with quantized circulation) appear in the bulk for high enough angular velocity of the vessel (in He II, these vortices show a fixed core of 1 Å and a quantum of circulation given by κ = 9.97 × 10 −4 cm 2 s −1 ). We recall some information on the dynamics of superfluid helium in Appendix A, but the reader can find more details in Donnelly (1991), Barenghi, Donnelly & Vinen (2001), Nemirovskii, Stamm & Fiszdon (1993), Nemirovskii (2013) and Tsakadze & Tsakadze (1980).…”

Section: P H Y S I C a L P I C T U R E O F T H E G L I T C Hmentioning

confidence: 99%

A mathematical description of glitches in neutron stars

Mongiovı̀

Russo

Sciacca

2017

Monthly Notices of the Royal Astronomical Society

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In a pulsar, there are gaps and difficulties in our knowledge of glitches, mainly because of the absence of information about the physics of the matter of the star. This has motivated several authors to suggest dynamical models that interpret most of the astronomical data. Many predictions are based on the assumption that the inner part is analogous to the structure of matter of superfluids. Here, we illustrate a new mathematical model, partially inspired by the dynamics of superfluid helium. We obtain two evolution equations for the angular velocities (of the crust and of superfluid), which are supported by another evolution equation for the average vortex line length per unit volume. This third equation is more delicate from an analytical perspective and is probably at the origin of glitches. We identify two stationary solutions, corresponding to the straight vortex regime and the turbulent regime.

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“…In this Section, we will perform two modifications of the expression of the mutual friction force, as used in the HVBK model, which are necessary to incorporate the anisotropy of the vortex tangle and to insure the thermodynamic consistency of the evolution equation for L and for v s , according to the formalism of linear irreversible thermodynamics [9,16]. Since (2.5) differs from the usual Vinen's equation, it is logical to ask how these modifications will change the form of F ns .…”

Section: Thermodynamic Analysis Of Polarized Superfluid Turbulencementioning

confidence: 99%

Vortex dynamics in rotating counterflow and plane Couette and Poiseuille turbulence in superfluid helium

2008

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An equation previously proposed to describe the evolution of vortex-line density in rotating counterflow\ud turbulent tangles in superfluid helium Phys. Rev B 69, 094513 2004 is generalized to incorporate nonvanishing\ud barycentric velocity and velocity gradients. Our generalization is compared with an analogous approach\ud proposed by Lipniacki Eur. J. Mech. B Fluids 25, 435 2006, and with experimental results by\ud Swanson et al. Phys. Rev. Lett. 50, 190 1983 in rotating counterflow, and it is used to evaluate the vortex\ud density in plane Couette and Poiseuille flows of superfluid helium

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Macroscopic dynamics of the vortex tangle in He II

Cited by 16 publications

References 16 publications

Alternative Vinen equation and its extension to rotating counterflow superfluid turbulence

Alternative Vinen equation and its extension to rotating counterflow superfluid turbulence

A mathematical description of glitches in neutron stars

Vortex dynamics in rotating counterflow and plane Couette and Poiseuille turbulence in superfluid helium

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