Convergence of the distribution functions for wormlike chains

Abstract
The Daniels‐type distribution functions of the end‐to‐end distance of three‐dimensional and two‐dimensional wormlike chains are obtained to terms of order t−10, by an operational method with use of a digital computer, where t is the ratio of the total chain contour length to the Kuhn segment length in three‐dimensional cases and of the contour length to the persistence length in two‐dimensional cases. The convergence of the ring‐closure probability and the mean reciprocal distance is examined on the basis of these distribution functions. A similar study of the moment‐based distribution functions is also made.

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