Thermal fluctuations of director orientation in nematic liquid crystals with inclusions

Abstract

We investigate thermal fluctuations of order parameters (director for mesomorphic subsystem and density for isomorphic liquid) in filled liquid crystal. We consider finite-size system with geometry of plane-parallel layer with zero boundary condition. We use a special model that takes into account the interaction of mesomorphic and isotropic subsystems and find general expressions for pair correlators. Based on these expressions we calculate the shift of critical temperature of isotropic liquid due to the interaction with the mesomorphic subsystem and space limitation.