Reptation of a Polymer Chain in the Presence of Fixed Obstacles
1
Laboratoire de Physique des Solides, Faculté des Sciences, 91—Orsay, France
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Publication type: Journal Article
Publication date: 1971-07-15
scimago Q1
wos Q2
SJR: 0.819
CiteScore: 5.3
Impact factor: 3.1
ISSN: 00219606, 10897690
Physical and Theoretical Chemistry
General Physics and Astronomy
Abstract
We discuss possible motions for one polymer molecule P (of mass M) performing wormlike displacements inside a strongly cross-linked polymeric gel G. The topological requirement that P cannot intersect any of the chains of G is taken into account by a rigorous procedure: The only motions allowed for the chain are associated with the displacement of certain “defects” along the chain. The main conclusions derived from this model are the following:
(a) There are two characteristic times for the chain motion: One of them (Td) is the equilibration time for the defect concentration, and is proportional to M2. The other time (Tr) is the time required for complete renewal of the chain conformation, and is proportional to M3.
(b) The over-all mobility and diffusion coefficients of the chain P are proportional to M−2.
(c) At times t < Tr the mean square displacement of one monomer of P increases only like 〈(rt − r0)2〉 = const t1/4.
These results may also turn out to be useful for the (more difficult) problem of entanglement effects in unlinked molten polymers.
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DE GENNES P. Reptation of a Polymer Chain in the Presence of Fixed Obstacles // Journal of Chemical Physics. 1971. Vol. 55. No. 2. pp. 572-579.
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DE GENNES P. Reptation of a Polymer Chain in the Presence of Fixed Obstacles // Journal of Chemical Physics. 1971. Vol. 55. No. 2. pp. 572-579.
Cite this
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TY - JOUR
DO - 10.1063/1.1675789
UR - https://doi.org/10.1063/1.1675789
TI - Reptation of a Polymer Chain in the Presence of Fixed Obstacles
T2 - Journal of Chemical Physics
AU - DE GENNES, P.-G.
PY - 1971
DA - 1971/07/15
PB - AIP Publishing
SP - 572-579
IS - 2
VL - 55
SN - 0021-9606
SN - 1089-7690
ER -
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BibTex (up to 50 authors)
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@article{1971_DE GENNES,
author = {P.-G. DE GENNES},
title = {Reptation of a Polymer Chain in the Presence of Fixed Obstacles},
journal = {Journal of Chemical Physics},
year = {1971},
volume = {55},
publisher = {AIP Publishing},
month = {jul},
url = {https://doi.org/10.1063/1.1675789},
number = {2},
pages = {572--579},
doi = {10.1063/1.1675789}
}
Cite this
MLA
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DE GENNES, P.-G.. “Reptation of a Polymer Chain in the Presence of Fixed Obstacles.” Journal of Chemical Physics, vol. 55, no. 2, Jul. 1971, pp. 572-579. https://doi.org/10.1063/1.1675789.