Diffusion-controlled reactions in presence of polymers

TL;DR

This paper investigates how diffusion-controlled reactions behave when reaction sites are attached to polymers, using a field theoretical approach to understand the scaling of particle concentration and reaction rates.

Contribution

It introduces a novel application of the renormalization group method to analyze reaction kinetics near star polymers, providing new scaling exponents.

Findings

Derived scaling laws for particle concentration near star polymer cores

Calculated numerical exponents for reaction rate scaling

Enhanced understanding of polymer-influenced diffusion reactions

Abstract

We study the properties of diffusion controlled reactions with traps or reaction sites attached to polymer chains or to a star polymer. Using a field theoretical renormalization group approach we obtain the scaling of the moments of concentration of diffusing particles near the core of a star polymer and calculate numerical values of the exponents governing the scaling of the reaction rate.