Molecular theory of the entanglement effect of rodlike polymers. Two alternative approaches

I. Teraoka, R. Hayakawa

Research output: Chapter in Book/Report/Conference proceedingConference contribution


Two alternative approaches are presented for evaluating the rotational diffusion constant Dr of entangled rodlike polymers in a semidilute solution. One is a quantitative refinement of the Doi-Edwards tube model, which gave for the first time a qualitative expression of Dr. To evaluate the mean square of a step angular displacement of the rodlike molecule, we use a computer simulation for Poisson line processes, while the mean lifetime of the tube is calculated by use of the first exit time of a stochastic process. The result is in good agreement with experimental data so far obtained. The other approach is a new Green function formulation on the dynamics of entangled rods; we regard the obstructions by neighbouring rods as a sequence of perturbation elements exerted on the free diffusion of the test rod. Incorporating the effects of the sequential perturbation one by one, we obtain an expression of Dr for rods in solutions in a wide range of concentrations from dilute to semidilute. In the semidilute region, this reduces to the result of the tube model.

Original languageEnglish (US)
Title of host publicationSpringer Series in Chemical Physics
PublisherPubl by Springer-Verlag New York
Number of pages9
ISBN (Print)3540508295, 9783540508298
StatePublished - 1989
EventProceedings of the 11th Tanaguchi International Symposium - Hakone, Jpn
Duration: Nov 7 1988Nov 12 1988


OtherProceedings of the 11th Tanaguchi International Symposium
CityHakone, Jpn

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry


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