### Abstract

The conjecture that the scaling limit of the two-dimensional self-avoiding walk (SAW) in a half plane is given by the stochastic Loewner evolution (SLE) with [Formula presented] leads to explicit predictions about the SAW. A remarkable feature of these predictions is that they yield not just critical exponents but also probability distributions for certain random variables associated with the self-avoiding walk. We test two of these predictions with Monte Carlo simulations and find excellent agreement, thus providing numerical support to the conjecture that the scaling limit of the SAW is [Formula presented].

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

Number of pages | 1 |

Journal | Physical Review Letters |

Volume | 88 |

Issue number | 13 |

DOIs | |

State | Published - Jan 1 2002 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

**Monte Carlo Tests of Stochastic Loewner Evolution Predictions for the 2D Self-Avoiding Walk.** / Kennedy, Thomas G.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Monte Carlo Tests of Stochastic Loewner Evolution Predictions for the 2D Self-Avoiding Walk

AU - Kennedy, Thomas G

PY - 2002/1/1

Y1 - 2002/1/1

N2 - The conjecture that the scaling limit of the two-dimensional self-avoiding walk (SAW) in a half plane is given by the stochastic Loewner evolution (SLE) with [Formula presented] leads to explicit predictions about the SAW. A remarkable feature of these predictions is that they yield not just critical exponents but also probability distributions for certain random variables associated with the self-avoiding walk. We test two of these predictions with Monte Carlo simulations and find excellent agreement, thus providing numerical support to the conjecture that the scaling limit of the SAW is [Formula presented].

AB - The conjecture that the scaling limit of the two-dimensional self-avoiding walk (SAW) in a half plane is given by the stochastic Loewner evolution (SLE) with [Formula presented] leads to explicit predictions about the SAW. A remarkable feature of these predictions is that they yield not just critical exponents but also probability distributions for certain random variables associated with the self-avoiding walk. We test two of these predictions with Monte Carlo simulations and find excellent agreement, thus providing numerical support to the conjecture that the scaling limit of the SAW is [Formula presented].

UR - http://www.scopus.com/inward/record.url?scp=85038266961&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85038266961&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.88.130601

DO - 10.1103/PhysRevLett.88.130601

M3 - Article

VL - 88

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 13

ER -