Relaxation of Self-Entangled Many-Arm Star Polymers

Gary S. Grest, Kurt Kremer, S. T. Milner, T. A. Witten

Research output: Contribution to journalArticle

93 Citations (Scopus)

Abstract

: We present a description of the relaxation of star polymers based on the conformational scaling properties predicted by Daoud and Cotton and confirmed in our recent simulations. We identify three typical relaxation mechanisms. The first describes elastic deformation of the overall shape. Its relaxation time is nearly independent of f. A second type of relaxation occurs via rotational diffusion. We predict that the relaxation time should scale with N2v+1ƒ2-cv where v is the correlation length exponent. A third relaxation process is the disentanglement of two or more arms. Here the longest relaxation time should increase exponentially with f1/2. We measure various relaxation processes by molecular-dynamics simulations of star polymers with many (6 < f < 50) arms. The observed relaxation times are consistent with our predictions but do not give strong confirmation. We also discuss how the observed scaling behavior should be modified by hydrodynamic interactions, which are not treated in the simulations.

Original languageEnglish (US)
Pages (from-to)1904-1910
Number of pages7
JournalMacromolecules
Volume22
Issue number4
DOIs
StatePublished - Jul 1 1989

Fingerprint

Relaxation time
Stars
Polymers
Relaxation processes
Elastic deformation
Cotton
Molecular dynamics
Hydrodynamics
Computer simulation

All Science Journal Classification (ASJC) codes

  • Organic Chemistry
  • Polymers and Plastics
  • Inorganic Chemistry
  • Materials Chemistry

Cite this

Grest, Gary S. ; Kremer, Kurt ; Milner, S. T. ; Witten, T. A. / Relaxation of Self-Entangled Many-Arm Star Polymers. In: Macromolecules. 1989 ; Vol. 22, No. 4. pp. 1904-1910.
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Grest, GS, Kremer, K, Milner, ST & Witten, TA 1989, 'Relaxation of Self-Entangled Many-Arm Star Polymers', Macromolecules, vol. 22, no. 4, pp. 1904-1910. https://doi.org/10.1021/ma00194a065

Relaxation of Self-Entangled Many-Arm Star Polymers. / Grest, Gary S.; Kremer, Kurt; Milner, S. T.; Witten, T. A.

In: Macromolecules, Vol. 22, No. 4, 01.07.1989, p. 1904-1910.

Research output: Contribution to journalArticle

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AB - : We present a description of the relaxation of star polymers based on the conformational scaling properties predicted by Daoud and Cotton and confirmed in our recent simulations. We identify three typical relaxation mechanisms. The first describes elastic deformation of the overall shape. Its relaxation time is nearly independent of f. A second type of relaxation occurs via rotational diffusion. We predict that the relaxation time should scale with N2v+1ƒ2-cv where v is the correlation length exponent. A third relaxation process is the disentanglement of two or more arms. Here the longest relaxation time should increase exponentially with f1/2. We measure various relaxation processes by molecular-dynamics simulations of star polymers with many (6 < f < 50) arms. The observed relaxation times are consistent with our predictions but do not give strong confirmation. We also discuss how the observed scaling behavior should be modified by hydrodynamic interactions, which are not treated in the simulations.

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