# Probability of loops formation in star polymers in long range correlated disorder

## TL;DR

This paper investigates how long-range correlated structural defects influence loop formation probabilities in star polymers, providing universal exponents that describe their scaling behavior.

## Contribution

It introduces a renormalization approach to determine universal exponents for loop probabilities in star polymers within correlated disordered environments.

## Key findings

- Universal exponents for loop formation probabilities were calculated.
- Long-range correlations significantly affect loop statistics.
- The results extend understanding of polymer behavior in disordered media.

## Abstract

We analyze the statistics of loops formation in $f$-branched star polymers in an environment with structural defects, correlated at large distances $r$ according to a power law $\sim r^{-a}$. Applying the direct polymer renormalization approach, we found the values of the set of universal exponents, governing the scaling of probabilities of various types of loops in macromolecules.