title: Interfacial properties of liquid-vapor interfaces with planar, spherical, and cylindrical geometries in mean field.
abstract: Following the route of the stress tensor we study the free energy of a fluid liquid-vapor interface in the van der Waals approximation for planar, cylindrical and spherical interfaces. By performing a systematic expansion in powers of the inverse of the curvature radii, and appropriately defining the Gibbs dividing surface, we find unambiguous expressions for the surface tension, the spontaneous curvature, the bending rigidity and the Gaussian rigidity.
authors.affiliation: División Académica de Ciencias Básicas, Universidad Juárez Autónoma de Tabasco, Km. 1 Carretera Cunduacán-Jalpa, Apartado Postal 24, 86690, Cunduacán, Tabasco, Mexico. jose.segovia@dacb.ujat.mx
authors.forename: José G
authors.initials: JG
authors.lastname: Segovia-López
authors.forename: Víctor
authors.initials: V
authors.lastname: Romero-Rochín