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

by: Nathan Clisby
(8 Feb 2013)  Key: citeulike:12011216

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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(27). Our method also provides accurate estimates of the number of self-avoiding walks, even for walks with millions of steps.


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