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Title: Mesoscopic theory of the viscoelasticity of polymers

Abstract

We have advanced our previous static theory of polymer entanglement involving an extended Cahn-Hilliard functional, to include time-dependent dynamics. We go beyond the Gaussian approximation, to the one-loop level, to compute the frequency dependent storage and loss moduli of the system. The four parameters in our theory are obtained by fitting to available experimental data on polystyrene melts of various chain lengths. This provides a physical representation of the parameters in terms of the chain length of the system. It is shown that the parameters chosen describe the crossover from an unentangled to an entangled state. The crossover is characterized by a dramatic increase in a time scale appearing in the theory, analogous to critical slowing down in phase transition theory. This result should stimulate more detailed experiments in this regime to test this concept. [copyright] [ital 1999] [ital The American Physical Society]

Authors:
 [1]
  1. (Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States))
Publication Date:
OSTI Identifier:
6466088
Alternate Identifier(s):
OSTI ID: 6466088
Resource Type:
Journal Article
Journal Name:
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Additional Journal Information:
Journal Volume: 60:3; Journal ID: ISSN 1063-651X
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ELASTICITY; POLYMERS; POLYSTYRENE; RHEOLOGY; TIME DEPENDENCE; VISCOSITY; MATERIALS; MECHANICAL PROPERTIES; ORGANIC COMPOUNDS; ORGANIC POLYMERS; PETROCHEMICALS; PETROLEUM PRODUCTS; PLASTICS; POLYOLEFINS; POLYVINYLS; SYNTHETIC MATERIALS; TENSILE PROPERTIES 661300* -- Other Aspects of Physical Science-- (1992-)

Citation Formats

Chitanvis, S.M. Mesoscopic theory of the viscoelasticity of polymers. United States: N. p., 1999. Web. doi:10.1103/PhysRevE.60.3432.
Chitanvis, S.M. Mesoscopic theory of the viscoelasticity of polymers. United States. doi:10.1103/PhysRevE.60.3432.
Chitanvis, S.M. Wed . "Mesoscopic theory of the viscoelasticity of polymers". United States. doi:10.1103/PhysRevE.60.3432.
@article{osti_6466088,
title = {Mesoscopic theory of the viscoelasticity of polymers},
author = {Chitanvis, S.M.},
abstractNote = {We have advanced our previous static theory of polymer entanglement involving an extended Cahn-Hilliard functional, to include time-dependent dynamics. We go beyond the Gaussian approximation, to the one-loop level, to compute the frequency dependent storage and loss moduli of the system. The four parameters in our theory are obtained by fitting to available experimental data on polystyrene melts of various chain lengths. This provides a physical representation of the parameters in terms of the chain length of the system. It is shown that the parameters chosen describe the crossover from an unentangled to an entangled state. The crossover is characterized by a dramatic increase in a time scale appearing in the theory, analogous to critical slowing down in phase transition theory. This result should stimulate more detailed experiments in this regime to test this concept. [copyright] [ital 1999] [ital The American Physical Society]},
doi = {10.1103/PhysRevE.60.3432},
journal = {Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics},
issn = {1063-651X},
number = ,
volume = 60:3,
place = {United States},
year = {1999},
month = {9}
}