Statistical Mechanics of Almost One-dimensional Systems. II.

Abstract

Previous results on the statistical mechanics of almost one-dimensional systems of molecules or atoms are generalized to allow for the presence of a longitudinally varying external potential energy field. Methods for calculating the local density and higher order distribution functions are described. Equations valid for mixtures of molecules of different kinds are derived. Possible applications of the theor{jtical results are indicated and a detailed application to the twodimensional hard disk system is described.