Modified Mode Coupling Theory of Glassy Dynamics Generated by Entanglement

Abstract

Increasing the density in systems with strong excluded volume interactions leads simultaneously to an increase of static correlations and a slowing down of the relaxational dynamics. Mode coupling theory in its present form describes this mechanism, satisfactorily. In contrast, for systems where entanglement is dominant, e.g. infinitely thin hard rods on a lattice, glassy dynamics is not driven by increasing static correlations but by entanglement. We show how mode coupling approximation can be modified such that non-vanishing vertices occur which might account for such pure entanglement effects.Keywords60.00; 70.00; 80.00