Correction-to-scaling exponents and amplitudes for the correlation length of linear polymers in two dimensions

Abstract

We consider the scaling behaviour of the radius of gyration for a system of dilute linear polymers. We focus on pN, the mean-square end-to-end distance of an N-step self-avoiding walk for which an additional two terms were recently calculated for the close-packed triangular lattice. Combining several extrapolation methods, we find that a consistent description of the scaling behaviour exists if and only if the correction-to-scaling exponent A is roughly half as large as commonly believed. We conclude that all data aLe consistent with the equation pN =AN2(1 +B/NA+C/N) where Y =$, A=$, A = 1/J2, ABsO.21 and C<lO-'.