J. Phys. I France 7 (1997) 273-289
Statics and Dynamics of the "Liquid-" and "Solidlike" Degrees of Freedom in Lightly Cross-Linked Polymer NetworksS.V. Panyukov1 and I.I. Potemkin2
1 Lebedev Institute of Physics, Russian Academy of Sciences, Moscow, 117924, Russia
2 Physics Department, Moscow State University, Moscow, 117234, Russia
(Received 29 May 1996, revised 30 August 1996, accepted 25 October 1996)
The density-density correlation function, that determines the angular dependence of the scattering intensity, is calculated for strongly deformed, lightly cross-linked polymer networks. The replica variant of the tube model is used to take into account the entanglement effects. It is shown that the contribution of thermally driven (annealed) density fluctuations to this correlation function is small with respect to the contribution of frozen-in (quenched) fluctuations. We also calculate the free energy functional for such "soft" solids, taking into account liquid- as well as solid-like degrees of freedom at different spatial scales. The dynamics of the "abnormal butterfly effect" is theoretically studied.
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