Orientational quenched disorder of a nematic liquid crystal

Phys Rev Lett. 2010 Mar 5;104(9):097801. doi: 10.1103/PhysRevLett.104.097801. Epub 2010 Mar 4.

Abstract

By means of direct imaging, we map the surface heterogeneities of the nematic director orientation on a SiOx anchoring layer. The spatial correlations of surface director orientations are well fitted with a compressed exponential with exponent of 1.5 and typical correlation length of few microns. To discuss these results a formal analogy is established between the equation governing the nematic surface torques and the Langevin equation. Based on this analogy we prove that the disorder is spatially correlated orientational quenched disorder. The measured correlation length is discussed in terms of substrate morphology and molecular adsorption.