Perturbation theory of polymer chains revisited, 2-intermolecular excluded volume of random and self-avoiding walks

摘要

The intermolecular compatibility of 10 ~7-10 ~8 independent pair configurations of linear chains (chain length 64≤ N ≤ 8192) with and without intramolecular interaction on various lattices is checked and the intermolecular excluded volume u evaluated. From the (average) number of possible i-tuples of overlaps in the pair configurations the parameters C _kof the perturbation theory are calculated. Differences between the various lattice types at finite N vanish completely for N ∞. While the theoretical values of C _1 and C _2 were recovered within very narrow limits for chains without intramolecular interaction, markedly higher figures apply to self-avoiding walks. The excluded volume u itself and higher C _k parameters are called upon to test several classical and renormalized perturbation theories.