Stability of Persistent Currents in Unsaturated Superfluid<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>Films

Telschow, K. L.; Hallock, R. B.

doi:10.1103/physrevlett.37.1484

Cited by 31 publications

(5 citation statements)

References 10 publications

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“…Decay of persistent currents has been studied both in bulk and films. The results of references 29,30,31 were found to be consistent with time dependence of the superfluid velocity in the form…”

Section: Comparison With Experimentssupporting

confidence: 53%

Metastable states in the planar two-dimensionalXYmodel and dissipation in superfluid flow

Batrouni

2004

Phys. Rev. B

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We use the Metropolis algorithm to study the stability of superfluid flow in a model system, namely the two-dimensional planar XY model. Flow properties are examined by studying the behavior of the system in metastable "twisted" states. We demonstrate the stability of superfluidity in this model and we discuss the Meissner effect and velocity quantization. We also study the critical velocity and dissipation by vortex creation and rotational flow and their dependence on the geometry of the system. An expression for the average superfluid velocity as a function of time, v s ͑t͒, is obtained and compared with experimental results.where n ͑ s ͒ is the normal (super) fluid density. The superfluid component does not carry entropy and flows without dissipation. The total particle current is thenwhere v s ͑v n ͒ is the velocity of the superfluid (normal) component. To obtain the expression for v s , we write the superfluid wave function as ͑r͒ = e i͑r͒ 0 ͑r͒, ͑4͒where 0 ͑r͒ is real. Then, PHYSICAL

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Section: Comparison With Experimentssupporting

confidence: 53%

Metastable states in the planar two-dimensionalXYmodel and dissipation in superfluid flow

Batrouni

2004

Phys. Rev. B

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“…With regard to 2D paths it was shown that a decrease in the superfluid film thickness leads to dissipative behavior that is a rapidly increasing function of decreasing film thickness, with dissipation becoming readily measurable [49] once the thickness falls below a nominal value of ∼ 12 atomic layers. The temperature dependence of the superfluid density and dissipation for 2D helium films obeys the Kosterlitz-Thouless (KT) prediction [50].…”

Section: Discussionmentioning

confidence: 99%

“…The present func- tional form suggests the possibility that a thermally activated process exists that degrades the flux with increasing efficiency according to ∼ exp(−E/T ). For example, thermally activated jogs or kinks [34] (roughness) on dislocation cores would introduce disorder and phase slips would result and reduce the flux.…”

Section: B Experimental Approach Data and Characterizationsmentioning

confidence: 99%

Dissipative superfluid mass flux through solidHe4

Vekhov¹,

Hallock²

2014

Phys. Rev. B

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The thermo-mechanical effect in superfluid helium is used to create an initial chemical potential difference, ∆µ0, across a solid 4 He sample. This ∆µ0 causes a flow of helium atoms from one reservoir filled with superfluid helium, through a sample cell filled with solid helium, to another superfluidfilled reservoir until chemical potential equilibrium is restored. The solid helium sample is separated from each of the reservoirs by Vycor rods that allow only the superfluid component to flow. With an improved technique, measurements of the flow, F , at several fixed solid helium temperatures, T , have been made as function of ∆µ in the pressure range 25.5 -26.1 bar. And, measurements of F have been made as a function of temperature in the range 180 < T < 545 mK for several fixed values of ∆µ. The temperature dependence of the flow above 100 mK shows a reduction of the flux with an increase in temperature that is well described by F = F * 0 [1 − a exp(−E/T )]. The non-linear functional dependence F ∼ (∆µ) b , with b < 0.5 independent of temperature but dependent on pressure, documents in some detail the dissipative nature of the flow and suggests that this system demonstrates Luttinger liquid-like one-dimensional behavior. The mechanism that causes this flow behavior is not certain, but is consistent with superflow on the cores of edge dislocations.

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“…Reference 10 discusses a two-dimensional depairing model and Refs, 10 and 12 give a decay form which fits some of the film data quite well. 4 Reference 11 discusses a vortex depairing and recombination model and provides a detailed discussion of the experiments of Bishop and Reppy. 8 The present theory assumes three dimensions and requires a permanent barrier AE.…”

Section: [Ln(d/a)/ln(v/cpr E )] (P S D/t Q )mentioning

confidence: 99%

“…Equation (3) can be written nondimensionally as dV/dr = -suihV (4) by introducing the dimensionless time r = v 0 t and the nucleation rate v 0 :…”

mentioning

confidence: 99%