### 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 language | English (US) |
---|---|

Pages (from-to) | 6989-6995 |

Number of pages | 7 |

Journal | The Journal of chemical physics |

Volume | 89 |

Issue number | 11 |

State | Published - 1988 |

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### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*The Journal of chemical physics*,

*89*(11), 6989-6995.

**Theory of dynamics of entangled rod-like polymers by use of a mean-field Green function formulation. I. Transverse diffusion.** / Teraoka, Iwao; Hayakawa, Reinosuke.

Research output: Contribution to journal › Article

*The Journal of chemical physics*, vol. 89, no. 11, pp. 6989-6995.

}

TY - JOUR

T1 - Theory of dynamics of entangled rod-like polymers by use of a mean-field Green function formulation. I. Transverse diffusion

AU - Teraoka, Iwao

AU - Hayakawa, Reinosuke

PY - 1988

Y1 - 1988

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=36549099356&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36549099356&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:36549099356

VL - 89

SP - 6989

EP - 6995

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

SN - 0021-9606

IS - 11

ER -