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Topological effects in ring polymers. II. Influence Of persistence length

Muller1, Wittmer, Cates

  • 1Institut fur Physik, Johannes-Gutenberg Universitat, 55099 Mainz, Germany and Department of Physics and Astronomy, University of Edinburgh, King's Building, Mayfield Road, Edinburgh EH9 3JZ, United Kingdom.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
PubMed
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Topological constraints significantly impact ring polymer melts. Increasing persistence length enhances ring overlap, leading to altered conformational and dynamical properties, including reduced diffusion rates.

Area of Science:

  • Polymer Physics
  • Soft Matter Physics
  • Computational Materials Science

Background:

  • Ring polymers in melts exhibit complex behavior due to topological constraints.
  • Persistence length influences polymer conformation and interactions.

Purpose of the Study:

  • Investigate the interplay between topological constraints and persistence length in ring polymer melts.
  • Determine if ring polymer behavior in melts aligns with a mean-field picture of topological constraints.

Main Methods:

  • Dynamical Monte Carlo simulations of a 3D lattice model.
  • Analysis of conformational properties (e.g., fractal dimension) and dynamical properties (e.g., diffusion constants).

Main Results:

  • Effective Flory exponent decreases with increasing persistence length, indicating changes in ring size scaling.

Related Experiment Videos

  • Emergence of a characteristic length scale (d(t)) larger than the screening length (xi), governing topological interactions.
  • Diffusion constant decreases significantly for semiflexible rings with high overlap.

    • Conclusions:

    • Topological interactions dominate ring polymer conformation at large length scales.
    • Persistence length is a key parameter controlling ring overlap and emergent properties.
    • Both conformational and dynamical behaviors are strongly influenced by topological constraints and ring overlap.