Scaling of star polymers: high order results

TL;DR

This paper advances the theoretical understanding of star polymers by extending renormalization group calculations to higher orders, providing more precise exponents for complex polymer networks involving different chain species.

Contribution

It introduces four-loop calculations for copolymer star exponents, enhancing the accuracy of scaling predictions for diverse polymer systems.

Findings

Four-loop results for copolymer star exponents

Improved accuracy in scaling predictions

Application to self-avoiding and interacting random walks

Abstract

We extend existing renormalization group calculations for the exponents describing scaling of star polymers and polymer networks constituted by chains of different species (the so-called copolymer star exponents). Our four loop results find application in the description of various phenomena involving self-avoiding and random walks that interact.