Ginzburg-Landau theory for the solid-liquid interface of bcc elements. II. Application to the classical one-component plasma, the Wigner crystal, and He4

X. C. Zeng, D. Stroud

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We extend our previously developed Ginzburg-Landau theory for calculating the crystal-melt interfacial tension of bcc elements to treat the classical one-component plasma (OCP), the charged fermion system, and the Bose crystal. For the OCP, a direct application of the theory of Shih et al. [Phys. Rev. A 35, 2611 (1987)] yields for the surface tension =1.12×10-3(Z2e2/a3), where Ze is the ionic charge and a is the radius of the ionic sphere. For the fermion system, the absence of reliable correlation functions near the coexistence line makes it difficult to estimate the surface tension. We treat the Bose crystal-melt interface by a quantum extension of the classical density-functional theory, using the Feynman formalism to estimate the relevant correlation functions. The theory is applied to the metastable He4 solid-superfluid interface at T=0, with a resulting surface tension 0.085 erg/cm2, in reasonable agreement with the value extrapolated from the measured surface tension of the bcc solid in the range 1.46 1.76 K. These results suggest that the density-functional approach is a satisfactory mean-field theory for estimating the equilibrium properties of liquid-solid interfaces, given knowledge of the uniform phases.

Original languageEnglish (US)
Pages (from-to)4761-4766
Number of pages6
JournalPhysical Review A
Volume39
Issue number9
DOIs
StatePublished - Jan 1 1989

Fingerprint

liquid-solid interfaces
interfacial tension
crystals
fermions
estimates
estimating
density functional theory
formalism
radii

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

@article{4b00591432514811a466ef41028aa24d,
title = "Ginzburg-Landau theory for the solid-liquid interface of bcc elements. II. Application to the classical one-component plasma, the Wigner crystal, and He4",
abstract = "We extend our previously developed Ginzburg-Landau theory for calculating the crystal-melt interfacial tension of bcc elements to treat the classical one-component plasma (OCP), the charged fermion system, and the Bose crystal. For the OCP, a direct application of the theory of Shih et al. [Phys. Rev. A 35, 2611 (1987)] yields for the surface tension =1.12×10-3(Z2e2/a3), where Ze is the ionic charge and a is the radius of the ionic sphere. For the fermion system, the absence of reliable correlation functions near the coexistence line makes it difficult to estimate the surface tension. We treat the Bose crystal-melt interface by a quantum extension of the classical density-functional theory, using the Feynman formalism to estimate the relevant correlation functions. The theory is applied to the metastable He4 solid-superfluid interface at T=0, with a resulting surface tension 0.085 erg/cm2, in reasonable agreement with the value extrapolated from the measured surface tension of the bcc solid in the range 1.46 1.76 K. These results suggest that the density-functional approach is a satisfactory mean-field theory for estimating the equilibrium properties of liquid-solid interfaces, given knowledge of the uniform phases.",
author = "Zeng, {X. C.} and D. Stroud",
year = "1989",
month = "1",
day = "1",
doi = "10.1103/PhysRevA.39.4761",
language = "English (US)",
volume = "39",
pages = "4761--4766",
journal = "Physical Review A",
issn = "2469-9926",
publisher = "American Physical Society",
number = "9",

}

TY - JOUR

T1 - Ginzburg-Landau theory for the solid-liquid interface of bcc elements. II. Application to the classical one-component plasma, the Wigner crystal, and He4

AU - Zeng, X. C.

AU - Stroud, D.

PY - 1989/1/1

Y1 - 1989/1/1

N2 - We extend our previously developed Ginzburg-Landau theory for calculating the crystal-melt interfacial tension of bcc elements to treat the classical one-component plasma (OCP), the charged fermion system, and the Bose crystal. For the OCP, a direct application of the theory of Shih et al. [Phys. Rev. A 35, 2611 (1987)] yields for the surface tension =1.12×10-3(Z2e2/a3), where Ze is the ionic charge and a is the radius of the ionic sphere. For the fermion system, the absence of reliable correlation functions near the coexistence line makes it difficult to estimate the surface tension. We treat the Bose crystal-melt interface by a quantum extension of the classical density-functional theory, using the Feynman formalism to estimate the relevant correlation functions. The theory is applied to the metastable He4 solid-superfluid interface at T=0, with a resulting surface tension 0.085 erg/cm2, in reasonable agreement with the value extrapolated from the measured surface tension of the bcc solid in the range 1.46 1.76 K. These results suggest that the density-functional approach is a satisfactory mean-field theory for estimating the equilibrium properties of liquid-solid interfaces, given knowledge of the uniform phases.

AB - We extend our previously developed Ginzburg-Landau theory for calculating the crystal-melt interfacial tension of bcc elements to treat the classical one-component plasma (OCP), the charged fermion system, and the Bose crystal. For the OCP, a direct application of the theory of Shih et al. [Phys. Rev. A 35, 2611 (1987)] yields for the surface tension =1.12×10-3(Z2e2/a3), where Ze is the ionic charge and a is the radius of the ionic sphere. For the fermion system, the absence of reliable correlation functions near the coexistence line makes it difficult to estimate the surface tension. We treat the Bose crystal-melt interface by a quantum extension of the classical density-functional theory, using the Feynman formalism to estimate the relevant correlation functions. The theory is applied to the metastable He4 solid-superfluid interface at T=0, with a resulting surface tension 0.085 erg/cm2, in reasonable agreement with the value extrapolated from the measured surface tension of the bcc solid in the range 1.46 1.76 K. These results suggest that the density-functional approach is a satisfactory mean-field theory for estimating the equilibrium properties of liquid-solid interfaces, given knowledge of the uniform phases.

UR - http://www.scopus.com/inward/record.url?scp=35949008459&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=35949008459&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.39.4761

DO - 10.1103/PhysRevA.39.4761

M3 - Article

AN - SCOPUS:35949008459

VL - 39

SP - 4761

EP - 4766

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 9

ER -