Connective constant of the self-avoiding walk on the triangular lattice
- 11 September 1986
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 19 (13) , 2591-2598
- https://doi.org/10.1088/0305-4470/19/13/024
Abstract
The author uses a recently developed Monte Carlo method to study the connective constant of the self-avoiding walk (SAW) on the triangular lattice. Assuming gamma =43/32 one finds mu T=4.15096+or-0.00010+or-0.00026 (95% confidence limits) and mu T=4.15096+or-0.00020+or-0.00037 (99% confidence limits), where the first error bar represents systematic error due to corrections to scaling and the second error bar represents statistical error. This rules out the conjecture mu T+ mu H=6 at the greater than 99% confidence level.Keywords
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