Monte Carlo tests of stochastic Loewner evolution predictions for the 2D self-avoiding walk

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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 SLE8/3 for the random variables. This supported the conjuncture that the scaling limit of the SAW was SLE8/3.

Original languageEnglish (US)
Article number130601
Pages (from-to)1306011-1306014
Number of pages4
JournalPhysical review letters
Volume88
Issue number13
StatePublished - Apr 1 2002

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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