Density-functional theory of hard-sphere condensation under gravity

Joseph A. Both; Daniel C. Hong

Density-functional theory of hard-sphere condensation under gravity

Research output: Contribution to journal › Article › peer-review

Abstract

An attempt is made to show that the local density approximation (LDA) and the Enskog theories are identical, so that in both methods the condensation temperature is defined as the temperature at which a particular sum rule breaks down. Following this, the problem is analyzed with a simple weighted density approximation (WDA). Finally, it is shown how the value μ_O that appears in the T_c=mgDμφ_c/μ_O depends on the approximation.

Original language	English (US)
Pages (from-to)	061105/1-061105/8
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	64
Issue number	6 I
State	Published - Dec 1 2001
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

Cite this

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title = "Density-functional theory of hard-sphere condensation under gravity",

abstract = "An attempt is made to show that the local density approximation (LDA) and the Enskog theories are identical, so that in both methods the condensation temperature is defined as the temperature at which a particular sum rule breaks down. Following this, the problem is analyzed with a simple weighted density approximation (WDA). Finally, it is shown how the value μO that appears in the Tc=mgDμφc/μO depends on the approximation.",

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N2 - An attempt is made to show that the local density approximation (LDA) and the Enskog theories are identical, so that in both methods the condensation temperature is defined as the temperature at which a particular sum rule breaks down. Following this, the problem is analyzed with a simple weighted density approximation (WDA). Finally, it is shown how the value μO that appears in the Tc=mgDμφc/μO depends on the approximation.

AB - An attempt is made to show that the local density approximation (LDA) and the Enskog theories are identical, so that in both methods the condensation temperature is defined as the temperature at which a particular sum rule breaks down. Following this, the problem is analyzed with a simple weighted density approximation (WDA). Finally, it is shown how the value μO that appears in the Tc=mgDμφc/μO depends on the approximation.

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Density-functional theory of hard-sphere condensation under gravity

Abstract

ASJC Scopus subject areas

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