Reptation and contour-length fluctuations in melts of linear polymers

S. T. Milner, T. C.B. Mc Leish

Research output: Contribution to journalArticlepeer-review

391 Scopus citations


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 in the dynamic loss modulus G”(ω) with 0 < α < 1/4 depending on chain length, in agreement with experiment.

Original languageEnglish (US)
Pages (from-to)725-728
Number of pages4
JournalPhysical review letters
Issue number3
StatePublished - 1998

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)


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