### Abstract

Monte Carlo tests of stochastic Loewner evolution (SLE) predictions were carried out for a two-dimensional (2D) self-avoiding walk (SAW). The SAW was simulated using the pivot algorithm. The simulations of the SAW walk in a half plane showed that the distributions of two particular random variables related to the walk agreed well with the exact distributions of SLE_{8/3} for the random variables. This supported the conjuncture that the scaling limit of the SAW was SLE_{8/3}.

Original language | English (US) |
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Article number | 130601 |

Pages (from-to) | 1306011-1306014 |

Number of pages | 4 |

Journal | Physical review letters |

Volume | 88 |

Issue number | 13 |

State | Published - Apr 1 2002 |

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

Kennedy, T. (2002). Monte Carlo tests of stochastic Loewner evolution predictions for the 2D self-avoiding walk.

*Physical review letters*,*88*(13), 1306011-1306014. [130601].