Dynamics of highly entangled rod-like molecules

Abstract

The diffusion of rod-like molecules is studied in the case of high density. It is argued that when one goes to densities higher than those permitting rotational freedom for the rods, the diffusion of one rod will depend critically upon the cooperation of the others. A calculation of this effect using mean-field theory yields a transition to immobility at a certain density, and this is offered as a simple model akin to a glass transition.