Surface tension of a hard sphere fluid near a wall. Expansion in powers of the density

Abstract
The Percus–Yevick and superposition approximations are used to expand the surface tension of a hard sphere fluid near a wall in powers of the bulk density. Two approaches have been followed. A macroscopic one (using the thermodynamic Gibbs adsorption equation) and a statistical mechanical one (using a recently obtained equation for the surface tension of an interface). The expansions obtained are compared with each other. An inconsistence has been found in the superposition approximation.

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