Dynamics of pinned quantized vortices in superfluid 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi>He</mml:mi><mml:mprescripts /><mml:none /><mml:mn>4</mml:mn></mml:mmultiscripts></mml:math>
 in a microelectromechanical oscillator

Nakagawa, Tomo; Tsubota, Makoto; Gunther, Keegan; Lee, Yoonseok

doi:10.1103/physrevb.108.144110

Cited by 2 publications

(2 citation statements)

References 44 publications

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“…Effectively, this mechanism assumes the existence of a critical angle between the vortex and the wall for unpinning. Such an assumption was recently used in simulations of vortex lines attached to a microelectromechanical (MEMS) oscillator, with a chosen critical angle of θ c = π/6 [16].…”

Section: Methodsmentioning

confidence: 99%

“…Further studies involving rotating quantum turbulence [4], thermal counterflow [5] and vortex capture probes such as wires [6] and MEMS devices [7] aid in providing confirmation of the influence of surface roughness and vortex pinning on superfluid flows. Numerical studies have examined vortex motion in the presence of solid boundaries through use of the vortex filament model (VFM) [8][9][10][11][12][13][14][15][16] and the Gross-Pitaevskii model [17].…”

Section: Introductionmentioning

confidence: 99%

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Modelling turbulent flow of superfluid 4He past a rough solid wall in the T = 0 limit

Doyle,

Golov,

Walmsley

et al. 2024

Preprint

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We present a numerical study, using the vortex filament model, of vortex tangles in a flow of pure superfluid 4He in the T = 0 limit through a channel of width D = 1 mm for various applied velocities V. The flat channel walls are assumed to be microscopically rough such that vortices terminating at the walls are permanently pinned; vortices are liberated from their pinned ends exclusively through self-reconnection with their images. Sustained tangles were observed, for a period of 80s, above the critical velocity Vc ∼ 0.20 cms-1 = 20 \frac{\kappa}{D}$. The coarse-grained velocity profile was akin to a classical parabolic profile of the laminar Poiseuille flow, albeit with a non-zero slip velocity ∼ 0.20cms-1 at the walls. The friction force was found to be proportional to the applied velocity. The effective kinematic viscosity was ∼ 0.1κ, and effective Reynolds numbers within Re′ < 15. The fraction of the polarized vortex length varied between zero in the middle of the channel and ∼ 60% within the shear flow regions ∼ D/4 from the walls. Therefore, we studied a state of polarized ultraquantum (Vinen) turbulence fuelled at short lengthscales by vortex reconnections, including those with vortex images due to the relative motion between the vortex tangle and the pinning rough surface.

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Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Modelling turbulent flow of superfluid 4He past a rough solid wall in the T = 0 limit

Doyle,

Golov,

Walmsley

et al. 2024

Preprint

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Modelling Turbulent Flow of Superfluid $$^{4}$$He Past a Rough Solid Wall in the $$T =$$ 0 Limit

Doyle,

Golov,

Walmsley

et al. 2024

J Low Temp Phys

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We present a numerical study, using the vortex filament model, of vortex tangles in a flow of pure superfluid $$^4$$ 4 He in the $$T = 0$$ T = 0 limit through a channel of width $$D = 1$$ D = 1 mm for various applied velocities V. The flat channel walls are assumed to be microscopically rough such that vortices terminating at the walls are permanently pinned; vortices are liberated from their pinned ends exclusively through self-reconnection with their images. Sustained tangles were observed, for a period of 80 s, above the critical velocity $$V_c \sim 0.20$$ V c ∼ 0.20 cm s$$^{-1} = 20 \frac{\kappa }{D}$$ - 1 = 20 κ D . The coarse-grained velocity profile was akin to a classical parabolic profile of the laminar Poiseuille flow, albeit with a nonzero slip velocity $$\sim$$ ∼ 0.20 cm s$$^{-1}$$ - 1 at the walls. The friction force was found to be proportional to the applied velocity. The effective kinematic viscosity was $$\nu ' \sim 0.1\kappa$$ ν ′ ∼ 0.1 κ , and effective Reynolds numbers within $$\mathrm {Re'} < 200$$ Re ′ < 200 . The fraction of the polarised vortex length varied between zero in the middle of the channel and $$\sim$$ ∼ 60% within the shear flow regions $$\sim D/4$$ ∼ D / 4 from the walls. Therefore, we studied a state of statically polarised ultraquantum (Vinen) turbulence fuelled at short length scales by vortex reconnections, including those with vortex images due to the relative motion between the vortex tangle and the pinning rough surface.

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Dynamics of pinned quantized vortices in superfluid He4 in a microelectromechanical oscillator

Cited by 2 publications

References 44 publications

Modelling turbulent flow of superfluid 4He past a rough solid wall in the T = 0 limit

Modelling turbulent flow of superfluid 4He past a rough solid wall in the T = 0 limit

Modelling Turbulent Flow of Superfluid $$^{4}$$He Past a Rough Solid Wall in the $$T =$$ 0 Limit

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