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Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
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Published on: September 26, 2016

Topological effect in ring polymers investigated with Monte Carlo simulation.

Jiro Suzuki1, Atsushi Takano, Yushu Matsushita

  • 1Computing Research Center, High Energy Accelerator Research Organization, Oho, Tsukuba City, Ibaraki 305-0801, Japan. jiro.suzuki@kek.jp

The Journal of Chemical Physics
|July 24, 2008
PubMed
Summary

Ring polymers in a melt exhibit a decreasing scaling exponent (nu) with increasing segment number, deviating from theoretical predictions. This study reveals nu values lower than expected due to topological and compression effects.

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Area of Science:

  • Polymer Physics
  • Computational Chemistry
  • Materials Science

Background:

  • Linear polymers in a melt typically have a Flory scaling exponent (nu) of 0.5.
  • Theoretical predictions for ring polymers often do not fully account for topological entropy loss.

Purpose of the Study:

  • To investigate the equilibrium conformations of ring polymers in a melt.
  • To estimate Flory's scaling exponent (nu) for ring polymers across a wide range of segment numbers (N).
  • To compare simulation results with theoretical predictions.

Main Methods:

  • Monte Carlo simulations
  • Bond fluctuation model
  • Analysis of radial distribution functions

Main Results:

  • The scaling exponent (nu) for ring polymers decreases as segment number (N) increases.
  • For N=1000, nu was found to be approximately 0.365, significantly lower than the theoretical prediction of 0.25.
  • Ring polymer nu values are notably lower than the 0.5 observed for linear polymers.

Conclusions:

  • The reduced nu values in ring polymers are attributed to topological effects and compression from neighboring coils.
  • The study suggests that theoretical models may neglect crucial topological entropy loss.
  • For high molecular weights, the scaling exponent (nu) for ring polymers is estimated to be within the range of 0.125 to 0.365.