Calculation of the connective constant for self-avoiding walks via the pivot algorithm

Abstract

We calculate the connective constant for self-avoiding walks on the simple cubic lattice to unprecedented accuracy, using a novel application of the pivot algorithm. We estimate that μ = 4.684 039 931 ± 0.000 000 027. Our method also provides accurate estimates of the number of self-avoiding walks, even for walks with millions of steps. © 2013 IOP Publishing Ltd.