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Full Paper
Theory of relaxation properties of two-dimensional polymer networks, 1. Normal modes and relaxation times
Article first published online: 31 AUG 2000
DOI: 10.1002/1521-3919(20000801)9:7<407::AID-MATS407>3.0.CO;2-B
© 2000 WILEY-VCH Verlag GmbH, Weinheim, Fed. Rep. of Germany
9:7<>1.0.CO;2-1/asset/cover.gif?v=1&s=5437df41b56f0ce570e6b39f56dbeb299f8733c4 "Macromolecular Theory and Simulations")
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How to Cite
Gotlib, Y. Y. and Gurtovenko, A. A. (2000), Theory of relaxation properties of two-dimensional polymer networks, 1. Normal modes and relaxation times. Macromolecular Theory and Simulations, 9: 407–415. doi: 10.1002/1521-3919(20000801)9:7<407::AID-MATS407>3.0.CO;2-B
Publication History
- Issue published online: 31 AUG 2000
- Article first published online: 31 AUG 2000
- Manuscript Received: 7 DEC 1999
- Abstract
- Cited By
Abstract
The local relaxation properties of polymer networks with a two-dimensional connectivity are considered. We use the mesh-like network model in which the average positions of junctions form the regular spatial structure consisting of square repeating units (network cells). The two-dimensional polymer network consisting of “bead and spring” Rouse chains and the simplified coarse-grained network model describing only the large-scale collective relaxation of a network are studied. For both dynamic network models the set of relaxation times and the transformation from Cartesian coordinates of network elements to normal modes are obtained. Using the normal mode transformation obtained, in Part 2 of this series the exact analytical expressions for various local dynamic characteristics of the polymer network having a two-dimensional connectivity will be calculated.