Enhanced Elasticity and Soft Glassy Rheology of a Smectic in a Random Porous Environment

Physics – Condensed Matter – Soft Condensed Matter

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4 pages, 4 eps figures; accepted for publication in Phys Rev Lett

Scientific paper

10.1103/PhysRevLett.94.107801

We report studies of the frequency dependent shear modulus, $G^*(\omega)=G'(\omega)+iG''(\omega)$, of the liquid crystal octylcyanobiphenyl (8CB) confined in a colloidal aerosil gel. With the onset of smectic order, $G'$ grows approximately linearly with decreasing temperature, reaching values that exceed by more than three orders of magnitude the values for pure 8CB. The modulus at low temperatures possesses a power-law component, $G^*(\omega) \sim \omega^\alpha$, with exponent $\alpha$ that approaches zero with increasing gel density. The amplitude of $G'$ and its variation with temperature and gel density indicate that the low temperature response is dominated by a dense population of defects in the smectic. In contrast, when the 8CB is isotropic or nematic, the modulus is controlled by the elastic behavior of the colloidal gel.

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