dorsal/arxiv
View SchemaCalculation of hydrodynamic mass for atomic impurities in helium
| Authors | Kevin K. Lehmann |
|---|---|
| Categories | |
| ArXiv ID | physics/0109008 |
| URL | https://arxiv.org/abs/physics/0109008 |
| DOI | 10.1103/PhysRevLett.88.145301 |
| Journal | Phys. Rev. Lett. 88, 145301-145304 (2002) |
Abstract
We present a simple numerical procedure for calculating the irrotational hydrodynamic flow in a helium solvation structure around a spherical solute in linear motion through superfluid helium. The calculation requires only the radial helium density around the impurity as input. From the resulting irrotational flow, the helium contribution to the effective mass of the solute is calculated. The results for alkali cations are compared to recent many-body Variational Monte Carlo (VMC) calculations by M. Buzzacchi, D. E. Galli, and L. Reatto (Phys. Rev. B., {\bf 64} 094512 (2001)). The helium contribution to the effective masses calculated by the two methods are 12.9(4.6) versus 9.4 u for Li$^+$, 48.2(5.6) versus 52.1 u for Na$^+$, 69.6(4.8) versus 70.1 u for K$^+$, and 6.4(8.8) versus 6.8 for Cs$^+$, with the VMC result listed first (with one $\sigma$ statistical error estimate) and the hydrodynamic result listed second. For the cases of Na$^+$ and K$^+$, the hydrodynamic calculation treated the first helium solvation shell as a rigid solid, as suggested by the VMC calculations; treating the first solvent layer as part of the superfluid lead to considerable underestimate, $\approx 50%$, of the mass increase in both cases. In all cases, the agreement of the two results are in within the error estimate of the VMC calculation, demonstrating the accuracy of hydrodynamic treatment of helium motion even on the atomic length scale.
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"abstract": "We present a simple numerical procedure for calculating the irrotational\nhydrodynamic flow in a helium solvation structure around a spherical solute in\nlinear motion through superfluid helium. The calculation requires only the\nradial helium density around the impurity as input. From the resulting\nirrotational flow, the helium contribution to the effective mass of the solute\nis calculated. The results for alkali cations are compared to recent many-body\nVariational Monte Carlo (VMC) calculations by M. Buzzacchi, D. E. Galli, and L.\nReatto (Phys. Rev. B., {\\bf 64} 094512 (2001)). The helium contribution to the\neffective masses calculated by the two methods are 12.9(4.6) versus 9.4 u for\nLi$^+$, 48.2(5.6) versus 52.1 u for Na$^+$, 69.6(4.8) versus 70.1 u for K$^+$,\nand 6.4(8.8) versus 6.8 for Cs$^+$, with the VMC result listed first (with one\n$\\sigma$ statistical error estimate) and the hydrodynamic result listed second.\nFor the cases of Na$^+$ and K$^+$, the hydrodynamic calculation treated the\nfirst helium solvation shell as a rigid solid, as suggested by the VMC\ncalculations; treating the first solvent layer as part of the superfluid lead\nto considerable underestimate, $\\approx 50%$, of the mass increase in both\ncases. In all cases, the agreement of the two results are in within the error\nestimate of the VMC calculation, demonstrating the accuracy of hydrodynamic\ntreatment of helium motion even on the atomic length scale.",
"arxiv_id": "physics/0109008",
"authors": [
"Kevin K. Lehmann"
],
"categories": [
"physics.chem-ph"
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"doi": "10.1103/PhysRevLett.88.145301",
"journal_ref": "Phys. Rev. Lett. 88, 145301-145304 (2002)",
"title": "Calculation of hydrodynamic mass for atomic impurities in helium",
"url": "https://arxiv.org/abs/physics/0109008"
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