Abstract

The time-temperature superposition (TTS) principle, employed extensively for the analysis of polymer dynamics, is based on the assumption that the different normal modes of polymer chains would experience identical temperature dependence. We aim to test the critical assumption for TTS principle by investigating poly(ethylene oxide) (PEO) melts, which have been considered excellent solid polyelectrolytes. In this work, we perform all-atom molecular dynamics simulations up to 300 ns at a range of temperatures for PEO melts. We find from our simulations that the conformations of strands of PEO chains in melts show ideal chain statistics when the strand consists of at least 10 monomers. At the temperature range of 400 to 300 K, the mean-square displacements () of the centers of mass of chains enter the Fickian regime, i.e., . On the other hand, of the monomers of the chains scales as at intermediate time scales as expected for the Rouse model. We investigate various relaxation modes of the polymer chains and their relaxation times (), by calculating for each strand of n monomers. Interestingly, different normal modes of the PEO chains experience identical temperature dependence, thus indicating that the TTS principle would hold for the given temperature range.

Highlights

  • The time-temperature superposition (TTS) principle has been employed extensively when one tried to analyze viscoelastic and mechanical properties of polymeric systems [1,2,3,4,5]

  • The Rouse model suggests that the polymer chain conformations relax such that the mean-square displacement ( ∆r2(t) ) of monomers scales as ∆r2(t) ∼ t1/2 for t ≤ τR

  • Motivated by the work by Tsalikis et al, we consider poly(ethylene oxide) (PEO) melts, but we focus on the temperature dependence of various relaxation modes of PEO chains and show whether those modes exhibit the same temperature dependence

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Summary

Introduction

The time-temperature superposition (TTS) principle has been employed extensively when one tried to analyze viscoelastic and mechanical properties of polymeric systems [1,2,3,4,5]. The TTS principle is based on the underlying assumption that the various relaxation modes of a polymer chain would experience identical friction and the relaxational dynamics of those modes would couple to each other with the same temperature dependence. It should be, of academic interest to test the assumption for the TTS principle. We investigate the temperature dependence of various relaxation modes of poly(ethylene oxide) (PEO) chains by performing extensive all-atom molecular dynamics simulations for up to 300 ns

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