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

Abstract

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
Pages132-140
Number of pages9
Edition51
ISBN (Print)3540508295, 9783540508298
DOIs
StatePublished - 1989
EventProceedings of the 11th Tanaguchi International Symposium - Hakone, Jpn
Duration: Nov 7 1988Nov 12 1988

Other

OtherProceedings of the 11th Tanaguchi International Symposium
CityHakone, Jpn
Period11/7/8811/12/88

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry

Fingerprint Dive into the research topics of 'Molecular theory of the entanglement effect of rodlike polymers. Two alternative approaches'. Together they form a unique fingerprint.

Cite this