Mesoscopic theory of the viscoelasticity of polymers

Details Mesoscopic theory of the viscoelasticity of polymers Mesoscopic theory of the viscoelasticity of polymers

1999-01-26

arxiv.org/abs/cond-mat/9901288v1

Physics

Condensed Matter

Soft Condensed Matter

Submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.60.3432

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 three 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. We discuss the importance of the various terms in our energy functional with respect to their contribution to the viscoelastic response of the polymeric system.

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