Distribution Functions of a Fluid in an External Potential Field: Application to Physical Adsorption

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Abstract
The thermodynamic properties of a fluid in an external potential field are expressed in terms of the spatial distribution functions appropriate to the fluid. Several methods of computing these distribution functions are given: integro-differential equations analogous to the Born-Green-Yvon equations; integral equations analogous to the Kirkwood-Salsburg equations; and two approximate methods of computation based on a perturbation approach. The applicability of these methods of calculation to various aspects of the problem of physical adsorption is discussed.