Journal ArticleDOI
Fluctuation Theory of Surface Tension
TLDR
In this article, a statistical expression for the surface tension of a liquid-vapor interface is derived, which contains the density profile and the direct correlation function in the vicinity of the interface.Abstract:
We derive a statistical mechanical expression for the surface tension of a liquid-vapor interface. It contains the density profile and the direct correlation function in the vicinity of the interface. When a local Ornstein-Zernike approximation is made on the direct correlation function, the surface-tension theory of Fisk and Widom is obtained.read more
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Journal ArticleDOI
The nature of the liquid-vapour interface and other topics in the statistical mechanics of non-uniform, classical fluids
TL;DR: In this paper, a new generalization of the linear theory of spinodal decomposition is formulated and by considering a "nearly uniform" fluid, some useful results for the long-wavelength behaviour of the liquid structure factor of various monatomic liquids are obtained.
Journal ArticleDOI
Translation of J. D. van der Waals' “The thermodynamik theory of capillarity under the hypothesis of a continuous variation of density”
TL;DR: Van der Waals justifies the choice of minimization of the Helmholtz free energy as the criterion of equilibrium in a liquid-gas system (Sections 1−4) as discussed by the authors.
Journal ArticleDOI
Molecular theory of surface tension
TL;DR: In this article, a molecular theory of surface tension is developed for a liquid-gas interface of a one component system and the Helmholtz free energy is obtained from a rigorous expansion in powers of derivatives of density ρ and is minimized by the calculus of variations.
Journal ArticleDOI
Structure and thermodynamics of the liquid–vapor interface
TL;DR: In this paper, the authors considered the effects of density fluctuations in different regions of a liquid-vapor interface on the interfacial thermodynamic and structural properties of the system, and the canonical partition function was written as a sum of constrained partition functions, each describing a system with a given number of particles in each column.
Journal ArticleDOI
A molecular theory for the solid–liquid interface
A. D. J. Haymet,David W. Oxtoby +1 more
TL;DR: In this paper, an order parameter theory of the solid-liquid interface using structural information about the uniform liquid phase is presented. But this theory is restricted to the flat interface and the spherical ball.