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Theory of relaxation properties of two‐dimensional polymer networks, 1. Normal modes and relaxation times
Author(s) -
Gotlib Yuli Ya.,
Gurtovenko Andrew A.
Publication year - 2000
Publication title -
macromolecular theory and simulations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.37
H-Index - 56
eISSN - 1521-3919
pISSN - 1022-1344
DOI - 10.1002/1521-3919(20000801)9:7<407::aid-mats407>3.0.co;2-b
Subject(s) - relaxation (psychology) , cartesian coordinate system , statistical physics , normal mode , polymer , network model , transformation (genetics) , diffusion , physics , materials science , topology (electrical circuits) , mathematics , computer science , chemistry , geometry , thermodynamics , combinatorics , nuclear magnetic resonance , quantum mechanics , psychology , social psychology , biochemistry , database , vibration , gene
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.