Dynamical correlation function of polymer density fluctuations in concentrated solutions

A.N. Semenov

Physica A: Statistical Mechanics and its Applications, 1990, vol. 166, issue 2, 263-287

Abstract: The time-dependent correlation function of concentration fluctuations in a polymer solution in the regime of entanglements is studied theoretically. Three stages of relaxation of concentration fluctuations are predicted. The first stage is due to cooperative deformation of entangelement network; its characteristic rate is τ-1c∝q2N0 (here q is the wave vector and N is the number of links per polymer chain). The second stage corresponds to a Rouse-type relaxation of macromolecular tension along the “tube”. The last stage, which is due to reptation motion of macromolecules, is characterized by a spectrum of relaxation times between τrept and τmax. Here τmax∝N3 is the longest reptation time, and the time τrept depends on q and N in the following way: τrept∝N3q4 for b-1⪢q⪢(Rb)-12; τrept∝N2q0 for (Rb)-12⪢q⪢R-1; τrept∝N1q-2 for R-1⪢q⪢bR2 (here R = N12a is the size of a macromolecule, b is the effective tube diameter).

Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:166:y:1990:i:2:p:263-287

DOI: 10.1016/0378-4371(90)90016-L

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