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

Iwao Teraoka, R. Hayakawa

Research output: Chapter in Book/Report/Conference proceedingChapter

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
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

Fingerprint

molecular theory
Polymers
rods
polymers
tubes
Random processes
Green's function
perturbation
Molecules
Computer simulation
stochastic processes
Green's functions
computerized simulation
formulations
life (durability)
molecules

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry

Cite this

Teraoka, I., & Hayakawa, R. (1989). Molecular theory of the entanglement effect of rodlike polymers. Two alternative approaches. In Springer Series in Chemical Physics (51 ed., pp. 132-140). Publ by Springer-Verlag New York.

Molecular theory of the entanglement effect of rodlike polymers. Two alternative approaches. / Teraoka, Iwao; Hayakawa, R.

Springer Series in Chemical Physics. 51. ed. Publ by Springer-Verlag New York, 1989. p. 132-140.

Research output: Chapter in Book/Report/Conference proceedingChapter

Teraoka, I & Hayakawa, R 1989, Molecular theory of the entanglement effect of rodlike polymers. Two alternative approaches. in Springer Series in Chemical Physics. 51 edn, Publ by Springer-Verlag New York, pp. 132-140, Proceedings of the 11th Tanaguchi International Symposium, Hakone, Jpn, 11/7/88.
Teraoka I, Hayakawa R. Molecular theory of the entanglement effect of rodlike polymers. Two alternative approaches. In Springer Series in Chemical Physics. 51 ed. Publ by Springer-Verlag New York. 1989. p. 132-140
Teraoka, Iwao ; Hayakawa, R. / Molecular theory of the entanglement effect of rodlike polymers. Two alternative approaches. Springer Series in Chemical Physics. 51. ed. Publ by Springer-Verlag New York, 1989. pp. 132-140
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