title: Contact theorems for anisotropic fluids near a hard wall.
abstract: In this paper, from the Born-Green-Yvon equation, we formulate a general expression for the contact value of the singlet distribution function for anisotropic fluids near a hard wall. This expression consists of two separate contributions. One is related to the bulk partial pressure for a given orientation of the molecules. The second is related to the anchoring phenomena and is characterized by the direct interaction between the molecules and the wall. Given this relation, we formulate the contact theorems for the density and order parameter profiles. The results are illustrated by the case of a nematic fluid near a hard wall.
authors.affiliation: Institute for Condensed Matter Physics, National Academy of Sciences, 1 Svientsitskii Str., 79011 Lviv, Ukraine.
authors.forename: M
authors.initials: M
authors.lastname: Holovko
authors.affiliation: Institute of Research of Chimie Paris, CNRS - Chimie ParisTech, 11 rue P. et M. Curie, 75005 Paris, France.
authors.forename: D
authors.initials: D
authors.lastname: di Caprio