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An exact solution for the pairwise distribution function of a 1D equilibrium fluid of hard rods of arbitrary size distribution is presented. Discrete size distributions for finite numbers of rods and in the thermodynamical limit, and continuous size distributions are considered. Examples showing the effect of shape and width of the size distributions and of density on the pair distribution functions are given, and the case of chains of sticking rods is discussed.
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Burgos et al. (1988) studied this question.
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