Our aim is to determine whether the fast dynamics, of either the backbone or the phenyl ring of polystyrene, are altered by the presence of carbon nanotubes, and, if so, whether the variation with concentration mirrors in some way, our observations of anomalous macroscopic diffusion. We will study dynamic processes over a wide range of temperatures, from well below the glass transition temperature of polystyrene to well above. The QENS experiments will be complemented by atomistic molecular dynamics simulations that we are currently undertaking.