Thermodynamic properties of a hard-sphere fluid near a hard wall at low temperatures

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Abstract
The effect of the location of the Gibbs dividing surface on the adsorption and the correct definition of the spreading pressure of a hard-sphere fluid near a hard wall are discussed. The first four exact virial coefficients of the spreading pressure have been calculated. They are compared with those obtained with the use of Percus-Yevick, hypernetted-chain, scale-particle-theory, and superposition approximations. The first three coefficients of the adsorption are calculated. A simpler alternate integral equation for the density profile is proposed with the use of the super-position approximation.