Abstract

The new scheme developed in an earlier paper for the determination of the free energy of classical systems is applied to the 1-D single component fluid of hard rods. Exact results for the nearest neighbor probability density functions (NNPDFs) are obtained with origin situated at one end of the 1-D medium of interest. The formulation for NNPDFs are then used to show that the new scheme converges and actually reproduces the well-known exact results for the free energy of the 1-D hard rod system at all densities.

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