Contact theorems for anisotropic fluids near a hard wall.

M. Holovko (1) , Dung Di Caprio (2)

1 ICMP - Institute for Condensed Matter Physics of NAS of Ukraine
2 IRCP - Institut de Recherche de Chimie Paris

In this paper, from the Born-Green-Yvon (BGY) 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.

Domaines: Chimie théorique et/ou physique; Matière Condensée [cond-mat]

M. Holovko, Dung Di Caprio. Contact theorems for anisotropic fluids near a hard wall.. Journal of Chemical Physics, 2015, 142 (1), pp.014705. ⟨10.1063/1.4905239⟩. ⟨hal-02382792⟩