Monte Carlo studies on the long time dynamic properties of dense cubic lattice multichain systems. I: The homopolymeric melt

Dynamic Monte Carlo simulations of long chains confined to a cubic lattice system at a polymer volume fraction of φ=0.5 were employed to investigate the dynamics of polymer melts. It is shown that in the range of chain lengths n, from n=64 to n=800 there is a crossover from a weaker dependence of the diffusion coefficient on chain length to a much stronger one, consistent with D∼n−2. Since the n−2 scaling relation signals the onset of highly constrained dynamics, an analysis of the character of the chain contour motion was performed. We found no evidence for the well-defined tube required by the reptation model of polymer melt dynamics. The lateral motions of the chain contour are still large even in the case when n=800, and the motion of the chain is essentially isotropic in the local coordinates. Hence, the crossover to the D∼n−2 regime with increasing chain length of this monodisperse model melt is not accompanied by the onset of reptation dynamics.