Superflow in Restricted Geometries

Donnelly, Russell J.; Hills, R. N.; Roberts, Paul

doi:10.1103/physrevlett.42.725

Cited by 15 publications

(1 citation statement)

References 8 publications

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“…The fluctuation of the phase coherence of superfluid becomes large at around T C , which may cause the phase slip by the expansion of quantized vortex in the channel. We here apply the competing barrier model of quantized vortex, 18 in which the vortex expands to the channel across the superfluid flow by the ther- mal activation process to overcome the barrier energy ⌬E. In the 1D channel the superfluid flows in the axis direction, and the barrier energy ⌬E is shifted by the superfluid flow as ⌬E = ⌬E 0 Ϯ p c v s , where ⌬E 0 is the barrier energy of no superflow, p c is the impulse of the vortex, and v s is the superfluid velocity.…”

Section: Resultsmentioning

confidence: 99%

Superfluidity of liquidH4econfined to one-dimensional straight nanochannel structures

2010

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Superfluidity of liquid 4 He confined in one-dimensional ͑1D͒ nanometer-size channels has been studied by means of a torsional oscillator. When the channel is larger than 2.8 nm in diameter, liquid 4 He becomes superfluid at low temperatures and a dissipation due to quantized vortex is observed. The superfluid onset temperature is 1.8 K at 0.14 MPa for the 4.7 nm channel and 0.89 K at 0.01 MPa for the 2.8 nm channel. For the latter, it is suppressed strongly under the application of pressure, and continuously approaches zero at around 2.1 MPa at absolute zero, which suggests a quantum phase transition between the superfluid and nonsuperfluid states in the 1D channel.

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Section: Resultsmentioning

confidence: 99%

Superfluidity of liquidH4econfined to one-dimensional straight nanochannel structures

2010

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Discovery and Properties of Quantized Vortices in Helium II

Donnelly

1990

Advances in Cryogenic Engineering

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Measurements of superfluid densities and critical superfluid mass currents of pure 4He and 3He/4He mixtures in nuclepore near the lambda transition

Schubert

Zimmermann

1981

J Low Temp Phys

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Measurements have been made of the relative superfluid density psp/ p and the critical mass currentIsc for the onset of dissipation in the superfluid flow of pure 4He and 3He/4He mixtures in the circular cylindrical pores of Nuclepore near the h transition, using a double-ended Helmholtz resonator. Pore diameters of O. 03, O. 1, and 0.4 tzm were studied using 3He mole fractions of O. O, ~ 0.2, and 0.4. For each pore diameter dp and mole fraction x our results for psp/ p were • 0 675 fitted relattvely well by the form C(t-to1) " and those for Isc by the form I~co(t-to~) g, where t=-[Tx -T]/Tx. For each combination of dp and x the reduced onset temperatures to1 and toc are in rough agreement with each other but somewhat larger than values found by others for Nuclepore. For the smaller two pore diameters, these onset temperatures are consistent with the unithat near Tx, h p~b~/m4kBT should be a constant versality hypothesis 2 e independent of T and x. Here h is the reduced Planck constant, P~b is the bulk superfluid density, ~ is the coherence length, m4 is the 4He atom mass, kB is Boltzmann ' s constant, and T is the absolute temperature. At each value of x the amplitudes C agree well with the corresponding amplitude for Psb/P, and g equals 1.17 + 0.04 for all cases. Measurements of the velocity of second sound at x = 0. 000, 0.190, 0.401, and 0.450 are also reported.

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Superflow in Restricted Geometries

Cited by 15 publications

References 8 publications

Superfluidity of liquidH4econfined to one-dimensional straight nanochannel structures

Superfluidity of liquidH4econfined to one-dimensional straight nanochannel structures

Discovery and Properties of Quantized Vortices in Helium II

Measurements of superfluid densities and critical superfluid mass currents of pure 4He and 3He/4He mixtures in nuclepore near the lambda transition

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