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Semiflexible polymers in a random environment.

Arti Dua1, Thomas A Vilgis

  • 1Max-Planck-Institute for Polymer Research, Ackermannweg 10, D-55122 Mainz, Germany.

The Journal of Chemical Physics
|September 9, 2004
PubMed
Summary
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We developed a theory for semiflexible polymer localization in random environments. Increased stiffness or disorder can surprisingly delocalize polymers, revealing complex phase behavior.

Area of Science:

  • Polymer Physics
  • Statistical Mechanics
  • Condensed Matter Physics

Background:

  • Understanding polymer behavior in disordered systems is crucial for materials science.
  • Semiflexible polymers exhibit unique properties due to their chain rigidity.
  • Localization phenomena in polymers are influenced by environmental disorder.

Purpose of the Study:

  • To develop a theoretical framework for the localization of semiflexible polymers.
  • To investigate the influence of chain flexibility and disorder on polymer localization.
  • To identify conditions leading to polymer delocalization.

Main Methods:

  • Utilizing simple scaling arguments.
  • Employing one-step replica symmetry breaking.
  • Analyzing the interplay between disorder and chain rigidity.

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Main Results:

  • Demonstrated that semiflexible polymer localization depends on both disorder and bending flexibility.
  • Showed that increased disorder density or chain stiffness can lead to polymer delocalization.
  • Established a general criterion for polymer delocalization across varying flexibilities.

Conclusions:

  • The theory provides a novel perspective on polymer localization in random environments.
  • A phase diagram for localized states of semiflexible polymers is proposed.
  • Findings highlight the complex relationship between polymer properties and environmental disorder.