Corrections to scaling in two-dimensional polymer statistics

Writing 〈${\mathit{R}}_{\mathit{N}}^2$〉= ${\mathit{AN}}^{2\nu }$(1+${\mathit{BN}}^{\mathrm{-}{\mathrm{\Delta }}_1}$+${\mathit{CN}}^{\mathrm{-}1}$+⋅⋅⋅) for the mean square end-to-end length 〈${\mathit{R}}_{\mathit{N}}^2$〉 of a self-avoiding polymer chain of N links, we have calculated ${\mathrm{\Delta }}_1$ for the two-dimensional continuum case from a finite perturbation method based on the ground state of Edwards self-consistent solution which predicts the (exact) ν=3/4 exponent. This calculation yields ${\mathrm{\Delta }}_1$=1/2. A finite-size scaling analysis of data generated for the continuum using a biased sampling Monte Carlo algorithm supports this value, as does a reanalysis of exact data for two-dimensional lattices. © 1996 The American Physical Society.