Effect of Collective Molecular Reorientations on Brownian Motion of Colloids in Nematic Liquid Crystal

• Published in: Science (American Association for the Advancement of Science) 2013-12, Vol.342 (6164), p.1351-1354
• Main Authors: Turiv, T., Lazo, I., Brodin, A., Lev, B. I., Reiffenrath, V., Nazarenko, V. G., Lavrentovich, O. D.
• Format: Article
• Language: English
• Subjects: Brownian motion; Colloids; Condensed matter: structure, mechanical and thermal properties; Coupling (molecular); Crystallography; Diameters; Diffusion; Diffusion rate; Exact sciences and technology; Fluctuation phenomena, random processes, noise, and brownian motion; Liquid crystals; Liquids; Molecules; Nematic; Orientational order of liquid crystals; electric and magnetic field effects on order; Physics; Statistical physics, thermodynamics, and nonlinear dynamical systems; Structure of solids and liquids; crystallography; Velocity; Viscosity
• ISSN: 0036-8075; 1095-9203
• DOI: 10.1126/science.1240591

In the simplest realization of Brownian motion, a colloidal sphere moves randomly in an isotropic fluid; its mean squared displacement (MSD) grows linearly with time τ. Brownian motion in an orientationally ordered fluid—a nematic—is anisotropic, with the MSD being larger along the axis of molecular orientation, called the director. We found that at short time scales, the anisotropic diffusion in a nematic becomes anomalous, with the MSD growing slower or faster than τ; these states are respectively termed subdiffusion and superdiffusion. The anomalous diffusion occurs at time scales that correspond to the relaxation times of director deformations around the sphere. Once the nematic melts, the diffusion becomes normal and isotropie. Our experiment shows that the deformations and fluctuations of long-range orientational order profoundly influence diffusive regimes.