Diffusion with contour length fluctuations in linear polymer melts

Amalie L. Frischknecht; Scott T. Milner

doi:10.1021/ma992123d

Diffusion with contour length fluctuations in linear polymer melts

Amalie L. Frischknecht
, Scott T. Milner

Chemical Engineering

Research output: Contribution to journal › Article › peer-review

33 Scopus citations

Abstract

We have calculated the self-diffusion constant in monodisperse linear polymer melts using a recent analytical theory of stress relaxation that incorporates contour-length fluctuations as well as reptation. We find over a broad range of chain lengths N that D approx. N^-2.25 before crossing over to the asymptotic reptation result of D approx. N^-2. This result is in agreement with recent experiments and single-chain simulations and resolves a long-standing discrepancy between the scaling of the zero-shear viscosity and the diffusion constant.

Original language	English (US)
Pages (from-to)	5273-5277
Number of pages	5
Journal	Macromolecules
Volume	33
Issue number	14
DOIs	https://doi.org/10.1021/ma992123d
State	Published - Jul 11 2000

All Science Journal Classification (ASJC) codes

Organic Chemistry
Polymers and Plastics
Inorganic Chemistry
Materials Chemistry

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abstract = "We have calculated the self-diffusion constant in monodisperse linear polymer melts using a recent analytical theory of stress relaxation that incorporates contour-length fluctuations as well as reptation. We find over a broad range of chain lengths N that D approx. N-2.25 before crossing over to the asymptotic reptation result of D approx. N-2. This result is in agreement with recent experiments and single-chain simulations and resolves a long-standing discrepancy between the scaling of the zero-shear viscosity and the diffusion constant.",

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AU - Frischknecht, Amalie L.

AU - Milner, Scott T.

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N2 - We have calculated the self-diffusion constant in monodisperse linear polymer melts using a recent analytical theory of stress relaxation that incorporates contour-length fluctuations as well as reptation. We find over a broad range of chain lengths N that D approx. N-2.25 before crossing over to the asymptotic reptation result of D approx. N-2. This result is in agreement with recent experiments and single-chain simulations and resolves a long-standing discrepancy between the scaling of the zero-shear viscosity and the diffusion constant.

AB - We have calculated the self-diffusion constant in monodisperse linear polymer melts using a recent analytical theory of stress relaxation that incorporates contour-length fluctuations as well as reptation. We find over a broad range of chain lengths N that D approx. N-2.25 before crossing over to the asymptotic reptation result of D approx. N-2. This result is in agreement with recent experiments and single-chain simulations and resolves a long-standing discrepancy between the scaling of the zero-shear viscosity and the diffusion constant.

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JO - Macromolecules

JF - Macromolecules

IS - 14

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Diffusion with contour length fluctuations in linear polymer melts

Abstract

All Science Journal Classification (ASJC) codes

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