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Ring polymers in crowded environment: conformational properties.

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  • 1Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 79011 Lviv, Ukraine.

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Summary
This summary is machine-generated.

Flexible ring polymers in solutions with structural obstacles exhibit universal size characteristics. The study quantifies how disorder affects polymer size and anisotropy, showing ring polymers grow larger than linear ones in such environments.

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Area of Science:

  • Polymer Physics
  • Soft Matter Physics
  • Statistical Mechanics

Background:

  • Polymers in solution often encounter structural obstacles like impurities, affecting their conformational properties.
  • Understanding polymer behavior in disordered environments is crucial for biological and material science applications.
  • Previous studies have explored polymer behavior in dilute solutions, but less is known about confined or impure environments.

Purpose of the Study:

  • To analyze the universal size characteristics of flexible ring polymers in solutions containing structural obstacles.
  • To investigate the impact of correlated impurities on polymer size and anisotropy.
  • To provide quantitative estimates for the averaged gyration and spanning radii of ring polymers in disordered media.

Main Methods:

  • Application of the direct polymer renormalization scheme.
  • Analysis of flexible ring polymers in 'd' dimensions.
  • Consideration of extended impurities correlated by a power law ~r(-a).
  • Evaluation of results up to the first order of the double expansion (ε = 4 - d, δ = 4 - a).

Main Results:

  • Quantitative estimates for the averaged gyration radius (⟨R(g ring)⟩) and spanning radius (⟨R(1/2 ring)⟩) were obtained.
  • The effective size and anisotropy of closed ring macromolecules in disordered environments were revealed.
  • A specific finding shows the size ratio of ring to linear polymers increases with disorder strength: ⟨R(g ring)(2)⟩/⟨R(g chain)(2)⟩=½(1+(13/48)δ).

Conclusions:

  • Disordered environments significantly influence the size and shape of flexible ring polymers.
  • The renormalization scheme provides a powerful tool for analyzing polymer behavior in complex media.
  • The findings offer insights into polymer conformation in biological systems and synthetic materials with impurities.