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Pair Distribution Function of a One-Dimensional Hard Rod Gas
Michael Flicker
Source abstract
The pair distribution function D2(x1, x2) for an infinite system of one-dimensional hard rods, each of length d, is derived directly from the expression for a finite system. In addition, for a finite system of N rods, it is shown that D2(x1, x2) is constant in the region of translational invariance if |x2 − x1| ≥ (N − 1)d. A relationship between D2(x1, x2) and D1(x) is also discussed.
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