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Relaxation of entangled polymers in melts
Author(s) -
des Cloizeaux J.
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.19910450119
Subject(s) - reptation , dispersity , quantum entanglement , relaxation (psychology) , viscosity , polymer , thermodynamics , domain (mathematical analysis) , statistical physics , function (biology) , materials science , physics , polymer chemistry , mathematics , mathematical analysis , quantum mechanics , nuclear magnetic resonance , psychology , social psychology , evolutionary biology , biology , quantum
The stress relaxation function of a monodisperse or polydisperse melt, and the corresponding viscosity, have been calculated in the entanglement domain by applying the Doi‐Edwards theory which relies on the reptation concept introduced by P. G. de Gennes. Though the theory has been considered as successful, the agreement with precise experiments is only qualitative, and strong anomalies remained to be explained. A new theory is presented here: it is obtained by introducing simple approximations derived from elementary but novel considerations. This theory is shown to be in good agreement with experiments on monodisperse and polydisperse melts. In particular, it explains the well‐known fact that the viscosity of a monodisperse polymer melt of molecular mass M seems to increase proportionally to M 3,4 when M is large.