| Issue |
J. Phys. II France
Volume 4, Number 5, May 1994
|
|
|---|---|---|
| Page(s) | 873 - 879 | |
| DOI | https://doi.org/10.1051/jp2:1994171 | |
J. Phys. II France 4 (1994) 873-879
The intermediate coherent scattering function of entangled polymer melts: a Monte Carlo test of des Cloizeaux' theory
J. Wittmer, W. Paul and K. BinderInstitut für Physik, Johannes Gutenberg-Universität Mainz, Staudinger Weg 7, D-55099 Mainz, Germany
(Received 30 July 1993, accepted in final 31 January 1994)
Abstract
Using the bond fluctuation model for flexible polymer chains in a dense melt the intermediate coherent scattering function
for chains containing
N = 200 monomers is calculated and interpreted in terms of a recent theory of des Cloizeaux. The theory yields an explicit description
for the crossover from the Rouse model to the regime where reptation prevails, for the limit
. While the Monte Carlo data are qualitatively compatible with this description, an accurate estimation of the tube diameter
is prevented due to the onset of a diffusive decay of the scattering function, not included in the theory. For a full quantitative
analysis of the Monte Carlo data (as well as of experiments on chains with not extremely large molecular weight) an extension
of the theory for finite N would be required.
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