Estimation of relaxation modulus of polymer melts by molecular dynamics simulations: Application of relaxation mode analysis

Nobuyuki Iwaoka, Katsumi Hagita, Hiroshi Takano

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Abstract

A framework for estimating the linear relaxation modulus of polymer melts by molecular dynamics (MD) simulations is presented on the basis of relaxation mode analysis (RMA). Conventional calculations of the relaxation modulus based on the Green-Kubo formula are computationally very expensive owing to long relaxation times and poor convergence of stress autocorrelation functions: In practice, reliable calculations usually require a time average over O(10τ1-100τ1), where τ1 is the longest relaxation time of a chain in the melt. RMA is a method that systematically extracts relaxation modes and rates of a polymer chain from the time correlation functions of coordinates of polymer segments. In the present method, the relaxation modulus is evaluated by fitting the data of the stress autocorrelation functions to the generalized Maxwell model whose relaxation times are determined from the relaxation rate spectrum obtained by RMA. It is demonstrated that the stress relaxation modulus of a polymer melt is well estimated by the present method over a wide range of time scales from MD simulations of lengthO(1τ1-10τ1)

Original languageEnglish
Pages (from-to)44801
Number of pages1
JournalJournal of the Physical Society of Japan
Volume84
Issue number4
DOIs
Publication statusPublished - 2015 Apr 15

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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