Implications of microscopic simulations of polymer melts for mean-field tube theories.

Despite the success of the mean-field tube theory in predicting the stress relaxation of linear and branched polymers, several important issues remain unresolved. Recent simulation methods that address some of these issues are shedding light on the dynamics of entangled polymer molecules. In this survey, we consider a class of coarse-grained models for polymer melts called slip-link models, which have been used to study the phenomena of constraint release, branch-point diffusion, and the relationship between the plateau modulus and entanglement spacing. We also consider the bond-fluctuation lattice model, and the pearl-necklace molecular dynamics model in conjunction with recently developed algorithms to identify primitive paths. The ability of these latter models to identify the primitive path network enables molecular simulations to be used to test and improve mean-field tube models. The implications of these simulations for the mean-field tube potential in the absence of constraint release, and for the dilution exponent which controls the strength of constraint release, are examined. [ABSTRACT FROM AUTHOR]