Interfacial properties of inhomogeneous fluids for a smooth profile

J.G. Segovia-López^a, A. Zamora^b, B. Pérez-Hernández^c

^a División Académica de Ciencias Básicas, Universidad Juárez Autónoma de Tabasco, Km 1 Carretera Cunduacán-Jalpa, Apartado Postal 24, 86690, Cunduacán, Tabasco, México.

^b Departamento de Matemáticas Aplicadas y Sistemas, Universidad Autónoma Metropolitana - Cuajimalpa, México D.F. 05300, México.

^c División Académica de Ingeniería y Arquitectura, Universidad Juárez Autónoma de Tabasco, Km 1 Carretera Cunduacán-Jalpa, Apartado Postal 24, 86690, Cunduacán, Tabasco, México.

Received 17 February 2014.
accepted 17 June 2014.

Abstract

We analyze single- and multi-component simple fluids in a liquid-vapor coexistence state, which forms an arbitrarily curved interface. Using an analytical approach, based upon density functional theory, we perform a power series expansion of the density profile on the principal curvatures to calculate the grand potential that represents the free energy of the system. In addition, we derive microscopic expressions for the interfacial properties. All results are in good agreement with other viewpoints at the level of surface tension and spontaneous curvature.

Keywords: Density functional theory; stress tensor; multi-component fluid.

PACS: 05.70.Np; 65.40.gp; 64.70.F-

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