Foundation of correlation ellipsometry

An experimental strategy for the detection of fluctuation dynamics at interfaces based on a combination of photon correlation spectroscopy (PCS) with a nulling ellipsometry scheme is investigated theoretically. The intensity description of ellipsometry measurements is generalized to PCS time correlation functions. The nulling ellipsometry procedure is applied for every lag time t of the correlation functions, to extract the dynamics connected to the coherent signal which contains the interface dynamics. The classical ellipsometry parameters Δ and tanΨ are generalized to functions and tan [capital Psi, Greek, tilde]_Q(t). A suitable Siegert relation is derived and employed to show that either field correlation functions or intensity correlation functions after baseline subtraction can be used as the starting point for the nulling ellipsometry procedure.

Multiple relaxation modes in associative polymer networks with varying connectivity

The dynamics and mechanics of networks depend sensitively on their spatial connectivity. To explore the effect of connectivity on local network dynamics, we prepare transient polymer networks in which we systematically cut connecting bonds. We do this by creating networks formed from hydrophobically modified difunctionalized polyethylene glycol chains. These form physical gels, consisting of flowerlike micelles that are transiently cross-linked by connecting bridges. By introducing monofunctionalized chains, we can systematically reduce the number of bonds between micelles and thus lower the network connectivity, which strongly reduces the network elasticity and relaxation time. Dynamic light scattering reveals a complex relaxation dynamics that are not apparent in bulk rheology. We observe three distinct relaxation modes. First we find a fast diffusive mode that does not depend on the number of bridges and is attributed to the diffusion of micelles within a cage formed by neighboring micelles. A second, intermediate mode depends strongly on network connectivity but surprisingly is independent of the scattering vector q. We attribute this viscoelastic mode to fluctuations in local connectivity of the network. The third, slowest mode is also diffusive and is attributed to the diffusion of micelle clusters through the viscoelastic matrix. These results shed light on the microscopic dynamics in weakly interconnected transient networks.