Phys. Rev. Lett. 81, 725–728 (1998)Reptation and Contour-Length Fluctuations in Melts of Linear PolymersReceived 14 January 1998; published in the issue dated 20 July 1998 We present an analytical theory of stress relaxation in monodisperse linear polymer melts that contains contributions from both reptation and contour-length fluctuations, modeled as in our previous work on arm retraction in star polymers. Our approach resolves two long-standing problems with reptation theory: it predicts a zero-shear viscosity η scaling as η∼N3.4 over a broad range in chain length N before reaching an asymptotic N3 dependence, and a power law ω-α in the dynamic loss modulus G′′(ω) with 0<α<1/4 depending on chain length, in agreement with experiment. © 1998 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.81.725
DOI:
10.1103/PhysRevLett.81.725
PACS:
83.10.Nn, 61.25.Hq
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