For a polymer chain in a good solvent, the author calculates the probability distribution functions between an endpoint and an interior point, and between two interior points, by using exact enumeration to study a lattice self-avoiding walk model. These distribution functions are different from the usual distribution function between endpoints. At small distance scales, the probability of nearest-neighbour contacts between two interior points is smaller than the probability of contact between two endpoints. FCC and triangular lattices are considered.
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S. Redner (1980) studied this question.
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