Abstract
The effect of intramolecular interactions on the configration of a flexible polymer molecule is investigated by the method of cluster expansion. Using the first approximation which takes account of the special type of diagrams, expansion parameters for the mean square end-to-end distance and the mean square radius of gyration are calculated near the Θ-temperature. It is shown that both expansion parameters are singular at the Θ-temperature. The expansion parameter for the mean square radius of gyration is a measurable quantity and to find the singularity experimentally it is necessary to measure the mean square radius of gyration at the temperature |T−Θ|<1K for N=500 or |T−Θ|<3K for N=100.
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