1302.2106 (Nathan Clisby)

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

Nathan Clisby

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 \mu = 4.684 039 931(27). Our method also provides accurate estimates of the number of self-avoiding walks, even for walks with millions of steps.

View original: http://arxiv.org/abs/1302.2106