Dynamics of Concentration Fluctuations for a Micellar Solution

Abstract

The decay rate $\Gamma$ for a micellar solution pentaethylene glycol mono $n$-dodecyl ether + water has been examined near the critical mixing point by light scattering. We find that the dynamic scaling behavior of ${\Gamma }^{*}\left[\frac{6\pi \eta \mathrm{}\left(T\right)\mathrm{}}{k_{\mathrm{B}}T}\right]\left(\frac{\Gamma }{k^3}\right)$ as a function of $k\xi$ over the range of $0.14\lesssim k\xi \lesssim 6.2$ has an obvious kinship with that for a fluid mixture near the critical mixing point, where $\eta \mathrm{}\left(T\right)\mathrm{}$ is the shear viscosity and $\xi$ the correlation length. It is also found that the shear viscosity exhibits a critical-like power-law singularity and depends explicitly on shear gradients.