Stability of free planar films of liquid<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow /><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:math>at<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn><mml:mn /><mml:mi /><mml:mi mathvariant="normal">K</mml:mi></mml:math>

1998

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The stability of free slabs of liquid 4 He at Tϭ0 K is studied by examining ground-state energies computed with Monte Carlo techniques. A stability condition derived by imposing a positive areal isothermal compressibility is applied. It is shown that Monte Carlo data clearly indicate that all finite films are unstable supporting the finding of previous investigations based on the analysis of values obtained from self-consistent microscopic calculations.

“…͑12͒ shows that the third-sound velocity goes to zero in the limit →0 providing a proof for the asymptotic result mc 3 2 (n c →ϱ)ϭ0, which has been discussed in detail in Ref. 7.…”

Section: ͑4͒supporting

confidence: 65%

supporting

confidence: 52%

Confirmation using Monte Carlo ground-state energies of the instability of free planar films of liquid4HeatT=0K

1998

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“…The corresponding expressions for V H (z) are provided elsewhere. 4, 35,38 The overall consistency of the solutions has been checked by verifying that numerical results satisfy the variational relations derived in Sec. II.…”

Section: Results For 4 He Adsorbed Onto a K Substratementioning

confidence: 75%

Wetting of potassium surfaces by superfluid4He:A study using variational properties of the chemical potential

2000

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The wetting of planar surfaces of K by superfluid 4 He films at Tϭ0 K is theoretically studied. In order to examine the consistency of numerical results, new variational properties of the chemical potential are derived. Two substrate-adsorbate interactions are analyzed: ͑a͒ the standard ''3-9'' one and ͑b͒ the more elaborated potential recently proposed by Chizmeshya, Cole, and Zaremba ͑CCZ͒. New results calculated within the framework of two different nonlocal density functionals ͑namely, those known as the Orsay-Paris and Orsay-Trento formalisms͒ are reported. It is demonstrated that the numerical solutions obtained from the theoretical equations verify with high accuracy the derived variational conditions. The main output of this investigation is the finding that, for both analyzed adsorption potentials, thick enough helium films exhibit a positive square of the third-sound velocity. The wetting of a potassium substrate by superfluid 4 He at T ϭ0 K suggested by experimental data is guaranteed in the case of the recent CCZ potential.

“…22 Since wetting is governed by the asymptotic behavior of the energetics of planar films, it is convenient to examine e as a function of the inverse of coverage 23 writing the following polynomial expansion: 9,14,24…”

Section: ͑26͒mentioning

confidence: 99%

Wetting of planar substrates of rubidium by liquid films of4He

2000

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The wetting of planar solid surfaces of Rb by superfluid 4 He films at Tϭ0 K is examined theoretically. The calculations were carried out by ͑i͒ using the most elaborated nonlocal density functional known as the Orsay-Trento proposal and ͑ii͒ assuming that the helium atoms interact with the substrate via the potential recently worked out by Chizmeshya, Cole, and Zaremba. The asymptotic surface tension was evaluated by applying two different procedures. Our results indicate that films of 4 He wet Rb at zero absolute temperature.