Theory of dynamics of entangled rod-like polymers by use of a mean-field Green function formulation. I. Transverse diffusion

Iwao Teraoka, Reinosuke Hayakawa

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Abstract

A mean-field Green function theory is developed for investigating the dynamics of entangled rod-like polymers in solutions. We regard the hindrance of surrounding rods as a multiple (sequential) perturbation to the free transverse or lateral diffusion of a test rod (a rod in consideration) and incorporate the effects of the perturbation elements one by one into the mean-field Green function. Thus, an explicit expression for the transverse diffusion constant is obtained as a function of a rod length and a polymer concentration for solutions from dilute to semidilute.

Original languageEnglish (US)
Pages (from-to)6989-6995
Number of pages7
JournalThe Journal of Chemical Physics
Volume89
Issue number11
DOIs
StatePublished - Jan 1 1988

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ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

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