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In contrast to this system, a similar soft copolymer micelle PS – PB with polybutadiene core (56% PB) and<br />
polystyrene corona (44% PS) in DBP solvent exhibits the same behaviour in the size dependence with the temperature but the<br />
viscoelastic properties are different. The size can be tuned from 45 nm up to 100 nm as the temperature goes from 20 to<br />
90 o C. The solvent is dibutyl-phthalate which is theta for polystyrene at 22 o C and for polybutadiene at 90 o C. In particular, an<br />
initial viscosity increase with temperature was attributed to the swelling of the core and thus, to an increase of inter-particles<br />
interactions. For concentrations above the overlapping limit, we observed a solid-to-liquid transition followed by a liquid-tosolid<br />
transition by further increasing the temperature. Then, for still higher concentrations, the system vitrified (see Figure 3).<br />
For such a system, both the mass concentration and the temperature increase yielded a larger effective volume fraction and<br />
thus induced a kinetic arrest. On the other hand, as observed for the PS-PI block copolymer micelles, master-curves of the<br />
relative zero-shear viscosity versus the effective volume fraction could not be obtained, pointing again to the quantitative<br />
different effect of mass concentration and temperature on the system’s response (see Figure 4).<br />
G' ( ) , G" ( ) (Pa)<br />
10 3<br />
10 2<br />
10 1<br />
10 0<br />
10 -1<br />
Concentrations<br />
8 % wt<br />
24 % wt<br />
η 0<br />
/η s<br />
PMMA in Decalin (640 nm)<br />
Star 32/80<br />
Star 64/07<br />
10 3 Star 128/07<br />
Star 128/80<br />
linear polymer<br />
Eintein's equation<br />
2.1 % wt<br />
10 2 4.2 % wt<br />
8.05 % wt<br />
12.1 % wt<br />
14.19 % wt<br />
15.31 % wt<br />
10 1<br />
T 1<br />
T 2<br />
T 3<br />
10 -2<br />
10 4 ϖ (rad/s)<br />
10 -2 10 -1 10 0 10 1 10 2<br />
10 0<br />
10 -1 10 0<br />
φ eff<br />
=c/c*<br />
Figure 3: Dynamic frequency sweep tests at 2 different<br />
concentrations (8% and 24% wt) at 20 o C for PS-PB. All<br />
strains are in the linear regime.<br />
Figure 4: Relative viscosity with the effective volume<br />
fraction for spheres, stars, linear polymers and star-like<br />
micelles. Our experimental data from PS-PB are with red<br />
color. T 1 , T 2 , and T 3 are the temperatures 20 o , 30 o and<br />
50 o C respectively.<br />
[1] B. Loppinet et al. , Macromol. Chem Phys. , 2005 , 206 , 163<br />
[2] M.J. Solomon , S.J. Muller , Journal of Polymer Science: Part B: Polymer Physics , Vol. 34 , 181 , 1996<br />
[3] X. Jin , T.P. Lodge , Rheol. Acta , 36:229 ,1997<br />
150