Ring polymers in crowded environment: Conformational properties.

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 ~r-a is considered. Applying the direct polymer renormalization scheme, we evaluate the estimates for averaged gyraion radius <Rg ring> and spanning radius <R1/2 ring> of typical ring polymer conformation up to the first order of double ε = 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, he size ratio of ring and open (linear) polymers of the same molecular weight grows when increasing he strength of disorder according to <Rg ring²>>/ <Rg chain²>> 1/2 (1 + 13/48 δ). [ABSTRACT FROM AUTHOR]