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- W2070182328 abstract "A density-functional theory is constructed for nonuniform systems of superfluid $^{4}mathrm{He}$ at zero temperature. In calculations of the free-surface shape and tension it is found necessary to self-consistently renormalize the theory in order to account for the important effects of the zero-point motion of the long-wavelength (wave number $qensuremath{le}{q}_{m}$) surface modes. Use of a cutoff ${q}_{m}=0.99$ ${mathrm{AA{}}}^{ensuremath{-}1}$, self-consistently determined within the theory, yields a surface tension of 0.384 ${mathrm{e}mathrm{r}mathrm{g}/mathrm{c}mathrm{m}}^{2}$, which compares well with the experimental results of 0.378 ${mathrm{e}mathrm{r}mathrm{g}/mathrm{c}mathrm{m}}^{2}$. Detailed liquid-structure effects are included, but no static density oscillations near the free surface result, in contrast to a theory of Regge. When the theory is applied to the case of $^{4}mathrm{He}$ bounded by a single hard wall, density oscillations near the wall are obtained. For a much simplified version of the density functional, an analytic solution for a planar free surface, vortex-line structure, and various properties of $^{4}mathrm{He}$ droplets, including the curvature dependences of the surface tension and Gibbs surface mass, are obtained." @default.
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- W2070182328 date "1975-08-01" @default.
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- W2070182328 title "Renormalized density-functional theory of nonuniform 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>at zero temperature" @default.
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- W2070182328 doi "https://doi.org/10.1103/physrevb.12.923" @default.
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