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Length and Time Scales of Entanglement and Confinement Effects Constraining Polymer Chain Dynamics

Published online by Cambridge University Press:  31 January 2011

Rainer Kimmich  and
Nail Fatkullin
Rainer Kimmich
Affiliation:
[email protected], University of Ulm, Ulm, Germany
Nail Fatkullin
Affiliation:
[email protected], Kazan State University, Kazan, Russian Federation
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Abstract

With characteristic time constants for polymer dynamics, namely τs (the segment fluctuation time), τe (the entanglement time), and τR (the longest Rouse relaxation time), the time scales of particular interest (i) t<τs, (ii) τs<t<τe, and (iii) τe<t<τR will be discussed and compared with experimental data. These ranges correspond to the chain-mode length scales (i) l<b, (ii) b<l<d2/b, and (iii) d2/b<l<L, where b is the statistical segment length, d is the dimension of constraints by entanglements and/or confinement, and L is the chain contour length. Based on Langevin-type equations-of-motion coarse-grained predictions for the mean-squared segment displacement and the spin-lattice relaxation dispersion will be outlined for the scenarios “freely-draining”, “entangled”, and “confined”. In the discussion we will juxtapose “local” versus “global” dynamics on the one hand, and “bulk” versus “confined” systems on the other.

Keywords

diffusionnuclear magnetic resonance (NMR)polymer
Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 1227: Symposium JJ – Multiscale Dynamics in Confining Systems , 2009 , 1227-JJ02-01
Copyright
Copyright © Materials Research Society 2010

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