Ring polymers in crowded environment: conformational properties

Abstract

We analyze the universal size characteristics of flexible ring polymers in solutions in presence of structural obstacles (impurities) in d dimensions. One encounters such situations when considering polymers in gels, colloidal solutions, intra- and extracellular environments. A special case of extended impurities correlated on large distances r according to a power law \sim r^{-a} is considered. Applying the direct polymer renormalization scheme, we evaluate the estimates for averaged gyration radius $⟨R_{g\mathrm{ring}}⟩$ and spanning radius $⟨R_{1/2\mathrm{ring}}⟩$ of typical ring polymer conformation up to the first order of double \varepsilon=4-d, δ=4-a expansion. Our results quantitatively reveal an extent of the effective size and anisotropy of closed ring macromolecules in disordered environment. In particular, the size ratio of ring and open (linear) polymers of the same molecular weight grows when increasing the strength of disorder according to $⟨R_{g\mathrm{ring}}^2⟩/⟨R_{g\mathrm{chain}}^2⟩=\frac{1}{2}\left(1+\frac{13}{48}\delta \right)$.

9 pages

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Cited by in corpus (8)

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• Universal size and shape ratios for arms in star-branched polymers: theory and mesoscopic simulations
• Universal size properties of "star-ring" polymer structure in disordered environment
• Influence of Media Disorder on DNA Melting: A Monte Carlo Study
• Toy models of multibranched polymers: opened vs. circular structures
• Loop formation in polymers in crowded environment
• Probability of loops formation in star polymers in long range correlated disorder