### Abstract

The authors simulated self-avoiding walks on the square lattice with fixed endpoints by means of a dynamic Monte Carlo algorithm. From these data they obtain an evaluation of the effective coordination number mu and the critical exponents alpha and v. They can therefore test the hyperscaling relation 2- alpha =dv with a careful estimate of systematic and statistical errors.

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

Article number | 040 |

Pages (from-to) | 2569-2576 |

Number of pages | 8 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 20 |

Issue number | 9 |

DOIs | |

State | Published - 1987 |

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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*,

*20*(9), 2569-2576. [040]. https://doi.org/10.1088/0305-4470/20/9/040

**Monte Carlo test of a hyperscaling relation for the two-dimensional self-avoiding walk.** / Caracciolo, S.; Sokal, A. D.

Research output: Contribution to journal › Article

*Journal of Physics A: Mathematical and General*, vol. 20, no. 9, 040, pp. 2569-2576. https://doi.org/10.1088/0305-4470/20/9/040

}

TY - JOUR

T1 - Monte Carlo test of a hyperscaling relation for the two-dimensional self-avoiding walk

AU - Caracciolo, S.

AU - Sokal, A. D.

PY - 1987

Y1 - 1987

N2 - The authors simulated self-avoiding walks on the square lattice with fixed endpoints by means of a dynamic Monte Carlo algorithm. From these data they obtain an evaluation of the effective coordination number mu and the critical exponents alpha and v. They can therefore test the hyperscaling relation 2- alpha =dv with a careful estimate of systematic and statistical errors.

AB - The authors simulated self-avoiding walks on the square lattice with fixed endpoints by means of a dynamic Monte Carlo algorithm. From these data they obtain an evaluation of the effective coordination number mu and the critical exponents alpha and v. They can therefore test the hyperscaling relation 2- alpha =dv with a careful estimate of systematic and statistical errors.

UR - http://www.scopus.com/inward/record.url?scp=0010056965&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0010056965&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/20/9/040

DO - 10.1088/0305-4470/20/9/040

M3 - Article

VL - 20

SP - 2569

EP - 2576

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 9

M1 - 040

ER -