### 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.

Original language | English (US) |
---|---|

Article number | 024 |

Pages (from-to) | 2591-2598 |

Number of pages | 8 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 19 |

Issue number | 13 |

DOIs | |

State | Published - 1986 |

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### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics

### Cite this

*Journal of Physics A: Mathematical and General*,

*19*(13), 2591-2598. [024]. https://doi.org/10.1088/0305-4470/19/13/024

**Connective constant of the self-avoiding walk on the triangular lattice.** / Guttmann, A. J.; Osborn, T. R.; Sokal, A. D.

Research output: Contribution to journal › Article

*Journal of Physics A: Mathematical and General*, vol. 19, no. 13, 024, pp. 2591-2598. https://doi.org/10.1088/0305-4470/19/13/024

}

TY - JOUR

T1 - Connective constant of the self-avoiding walk on the triangular lattice

AU - Guttmann, A. J.

AU - Osborn, T. R.

AU - Sokal, A. D.

PY - 1986

Y1 - 1986

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0042124498&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0042124498&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/19/13/024

DO - 10.1088/0305-4470/19/13/024

M3 - Article

VL - 19

SP - 2591

EP - 2598

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 13

M1 - 024

ER -