One-Dimensional Systems: Exact Solution for Nearest-Neighbor Interactions
One-dimensional systems with interactions restricted to nearest neighbors lend themselves to a full exact statistical-mechanical solution, what has undoubtful pedagogical and illustrative values. It is first noted in this chapter that the pair correlation function in Laplace space can be expressed in terms of the nearest-neighbor distribution function. The latter quantity is subsequently obtained in the isothermal–isobaric ensemble. As explicit examples, the square-well, square-shoulder, sticky-hard-rod, and nonadditive hard-rod fluids are worked out in detail.
KeywordsHard Sphere Radial Distribution Function Packing Fraction Statistical Ensemble Compressibility Factor
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