Corrections to scaling in multicomponent polymer solutions

TL;DR

This paper calculates the correction-to-scaling exponent for multicomponent polymer solutions using Monte Carlo simulations and field-theory analysis, confirming theoretical predictions and enhancing understanding of their approach to the scaling limit.

Contribution

It provides the first direct Monte Carlo estimate of the correction-to-scaling exponent $_T$ and validates renormalization-group predictions for multicomponent polymer solutions.

Findings

Monte Carlo estimate of _T = 0.415(20)

Field-theory analysis yields _T = 0.41(4)

Verification of RG predictions near the ideal-mixing point

Abstract

We calculate the correction-to-scaling exponent $\omega_T$ that characterizes the approach to the scaling limit in multicomponent polymer solutions. A direct Monte Carlo determination of $\omega_T$ in a system of interacting self-avoiding walks gives $\omega_T = 0.415(20)$. A field-theory analysis based on five- and six-loop perturbative series leads to $\omega_T = 0.41(4)$. We also verify the renormalization-group predictions for the scaling behavior close to the ideal-mixing point.