Monte-Carlo calculations on statistical chains enclosed inside a sphere

Statistical chains have been generated inside a sphere of variable radius R. The mean square root end-to-end distance, the radius of gyration, and the entropy of the chains have been determined as a function of R for absorbing boundary (AB) and reflecting boundary (RB) statistics to be defined below in this paper. It is found that the entropy change ΔS from the unbounded (free)chain varies as R^?2 for AB statistics and as R^?1 for RB statistics.