Square lattice self-avoiding walks and corrections to scaling

Abstract

New data and analysis of a 51-term series for self-avoiding walks on the (anisotropic) square lattice is given. Analysis of the series provides compelling evidence that the generating function for walks cannot be written as an algebraic or D-finite function and that the correction-to-scaling exponent is Δ= 3/2. © 1996 The American Physical Society.