Elastic coupling of silica gel dynamics in a liquid-crystal–aerosil dispersion

Abstract

The dynamics of a thixotropic silica aerosil gel dispersed in an octylcyanobiphenyl liquid crystal were directly probed by x-ray intensity fluctuation spectroscopy. For all samples, the time-autocorrelation function of the gel was well described by a modified-exponential function over the q range studied. Compared to a pure gel sample, a dilute $\left(0.06\mathrm{}\hspace{0.5em}{\mathrm{g}\mathrm{}\mathrm{cm}}^{-3}\right)$ gel embedded within the liquid crystal displayed more complex and temperature dependent dynamics. Near the second-order smectic-$A$-to-nematic phase transition of the liquid crystal the gel relaxation became significantly more complex and slower $\left(\tau \simeq 2150\hspace{0.5em}\mathrm{s}\right)$ compared to relaxations observed well within either phase. This clearly demonstrates coupling between the dynamics of the gel and the host liquid crystal, consistent with critical slowing down of smectic and director fluctuations. A random dampening field, elastically coupled to the liquid crystal, would explain the earlier observed crossover of this transition towards $3d-\mathrm{XY}$ behavior.