B. Nystrom et al., DYNAMIC CROSSOVER EFFECTS OBSERVED IN SOLUTIONS OF A HYDROPHOBICALLY ASSOCIATING WATER-SOLUBLE POLYMER, Journal of physical chemistry, 97(29), 1993, pp. 7743-7752
The dynamics of aqueous solutions of a hydrophobically associating pol
ymer is studied by means of pulsed field gradient NMR and dynamic ligh
t scattering (DLS). The results from the NMR measurements at higher co
ncentrations reveal an anomalous diffusion behavior. However, when the
observation time is increased the classical Fickian diffusion is reco
vered. These features are discussed in terms of effects of fractal str
ucture and in the light of a coupling model. The concentration depende
nce of the self-diffusion coefficient is well described by a stretched
exponential function. These results constitute the basis for the eval
uation of the concentration-dependent coupling parameter. The time cor
relation function data obtained from the DLS experiments are analyzed,
at all concentrations, with the aid of a model, where the initial dec
ay is described by a single exponential followed by a nonexponential r
elaxation function, which is characterized by a fractional exponential
of the Kohlrausch-Williams-Watts type. In the initial stage, an uncou
pled relaxation time tau(f) is recognized, which decreases slowly with
concentration. The wave vector (q) dependence of tau(f) indicates a c
rossover from diffusive to a Zimm-like behavior as the concentration i
ncreases. At longer times, the analysis yields a mean relaxation time
tau(s), associated with the release of coupled clusters. The width of
the distribution of relaxation times is given by a parameter beta. Thi
s quantity, which is independent of q, decreases from 0.97 at low conc
entrations to about 0.4 at high concentrations. The parameter tau(s) i
ncreases dramatically (several decades) in the studied concentration r
ange. The q dependence of tau(s) is considerably stronger, at higher c
oncentrations, than that of tau(f). All these features can be rational
ized in the framework of the coupling model.