Some exact results for isolated hard-disc chain and ring molecules.

In this paper we study two-dimensional flexible interaction-site molecules composed of n tangent hard discs. In particular, we obtain exact results for the n -site probability function for isolated tangent-hard-disc chains and rings with n 6. All configurational properties of the chain and ring n -mers can be determined from this probability function. We present analytical and 'exact' numerical results for the mean-square site-site separations, mean-square radii of gyration, average shape and two-site intramolecular distribution functions. [ABSTRACT FROM AUTHOR]