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Segment orientation in topologically constrained networks
Author(s) -
Sommer JensUwe,
Straube Ekkehard
Publication year - 1991
Publication title -
makromolekulare chemie. macromolecular symposia
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.257
H-Index - 76
eISSN - 1521-3900
pISSN - 0258-0322
DOI - 10.1002/masy.19910520121
Subject(s) - orientation (vector space) , chain (unit) , harmonic , field (mathematics) , boundary value problem , value (mathematics) , order (exchange) , harmonic potential , topology (electrical circuits) , mathematics , computer science , statistical physics , physics , geometry , mathematical analysis , combinatorics , pure mathematics , statistics , quantum mechanics , finance , economics
Using the continous Edwards–chain model the simultaneous influence of harmonic–like constraints and of a stochastic order parameter field on the segment orientation in polymer networks is investigated. The harmonic potential reduces the orientation order parameter in comparison to the value for an unconstrained freely jointed chain. This reference value is approached from below in the case of strong topological constraints. The introduction of a stochastic order parameter field enlarges the orientation but the reference value remains the upper boundary.