Quantitative Theory for Linear Dynamics of Linear Entangled Polymers

We present a new quantitative development of the reptation picture of de Gennes−Doi−Edwards. It is well-known that the original reptation theory is unable to fit linear relaxation spectra (G‘ and G‘ ‘) as it misses several important physical processes: (1) contour length fluctuations, (2) constraint release, and (3) longitudinal stress relaxation along the tube. All of these processes were treated theoretically before; however, the treatment used either uncontrolled approximations or failed to include all of them at the same time. The aim of this work is to combine self-consistent theories for contour length fluctuations and constraint release with reptation theory. First, we improve the treatment of contour…