By J. De Vicente
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Extra resources for Rheology
Also for solutions of other PVC systems of the concentrations slightly lower than cg, similar behaviour is observed. Fig. 9. Complex viscosity η* as a function of ω for PVC4/DOP samples. 9g/L as indicated. Reproduced, with permission of the author. (20), η0-1 was plotted against c as shown in Figure 10 to calculate dη0-1/dc. B. p corresponds to c in this experiment. Then –η0-1(dη0-1/dc)-1 was calculated. Figure 11 shows that linear relations are obtained for –η0-1(dη0-1/dc)-1 and c for PVC4, PVC9, PVC17 solutions.
At longer reaction times this size becomes larger and larger until it extends across the entire sample. The size of the typical cluster becomes infinite at the gel point where the critical gel is formed. The network structure of the critical gel is self similar and so only a very large length matters. Generally one calls such self similar objects "fractals". The straight lines in G'(ω), G"(ω) over all ω indicate that there is no dominant length scale in the polydimethylsiloxane sample, i. e. the correlation length is infinite and on each scale of observation a similar structure can be found.
Chain and local dynamics of polyisoprene as probed by experiments and computer simulations, The Journal of Chemical Physics 119(13): 6883–6894. Ferry, J. D. (1995). Viscoelastic Properties of Polymers, Oxford University Press, New York. Fetters, L. , Lohse, D. , Witten, T. A. & Zirkel, A. (1994). Connection between polymer molecular weight, density, chain dimensions, and melt viscoelastic properties, Macromolecules 27(17): 4639–4647. 1021/ma00095a001. Hiroshi, W. (2001). Dielectric relaxation of type-a polymers in melts and solutions, Macromolecular Rapid Communications 22(3): 127–175.