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Fluctuation-induced forces between rings threaded around a polymer chain under tension.

F M Gilles1,2,3, R Llubaroff1,4, C Pastorino1,2

  • 1Departamento de Física de la Materia Condensada, CAC-CNEA, Av. Gral. Paz 1499, 1650, Pcia. de Buenos Aires, Argentina.

Physical Review. E
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We simulated polymer chains and found an attractive force between threaded rings. This force depends on temperature, distance, and chain stretching, offering insights into soft-matter systems.

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Area of Science:

  • Soft Matter Physics
  • Polymer Physics
  • Materials Science

Background:

  • Understanding fluctuation-induced forces is crucial for soft-matter systems, liquid interfaces, and materials like polyrotaxanes.
  • Polymer chains under tension exhibit complex fluctuation properties.
  • Ring molecules threaded onto polymer chains can influence these fluctuations.

Purpose of the Study:

  • To characterize fluctuation properties of a polymer chain under external tension.
  • To investigate fluctuation-induced forces between two ring molecules threaded on the polymer chain.
  • To compare simulation results with theoretical models.

Main Methods:

  • Molecular-dynamics simulations using the Kremer-Grest bead-spring model for the polymer.
  • Simulation of a simple ring-molecule model in the canonical ensemble.
  • Analysis of transverse chain fluctuations and fluctuation spectra at constant temperature.

Main Results:

  • An attractive, temperature-proportional, and distance-decaying fluctuation-induced force was observed between the rings.
  • The force was characterized as a function of ring distance, chain stretching, and ring radius.
  • Differences in chain fluctuation spectra were measured with and without the constraining rings.

Conclusions:

  • The study quantifies fluctuation-induced forces between rings on a polymer chain.
  • Results provide a basis for understanding and designing materials like polyrotaxanes and slide-ring systems.
  • Simulation findings are compared with existing theoretical models for validation and further development.