Polymers and liquid crystals are inherently complex systems: how should we model their behavior? We often approach the problem by beginning at the microscopic level and writing equations to describe the motion of individual molecules. Then we solve these equations, creating a picture of the system's macroscopic behavior. Atomistic computer simulations and the analytical theory of non-linear wave propagation are among our most useful tools.

Dynamics of Liquid Crystals at Surfaces

    We recently showed that substrate dynamics affect liquid crystal anchoring, and predicted shape effects in liquid crystal droplets. We are also interested in liquid crystal phase transitions. Sources of support include the NSF Materials Theory Program.

Diffusion in Polymers

    We investigate the macroscopic effects of the movement of polymer and solvent molecules. Recent accomplishments include a new model of non-linear diffusion. This work is supported by the Petroleum Research Fund.

Pattern Formation and Dendritic Growth

    The study of patterns and pattern growth is linked to our interest in liquid crystals and crystalline structures. This work is performed at the NASA Glenn Research Center.

Surfactants

    We investigate the effects of surfactants on the behavior of magnetically levitated liquids, in a joint effort with the Liquid Crystal Physics and Complex Fluids Group. We are particularly interested in the behavior of pulmonary surfactant and its components. Some introductory notes on pulmonary surfactant may be found at this site. Our project is funded by a NASA Biophysics grant.

Batteries and Fuel Cells

    Polymers find applications as electrolytes in fuel cells and batteries. This work is in conjunction with Professor Daniel Scherson of the Chemistry Department at CWRU, and is supported by NASA.