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

Research output: Contribution to journalArticle

2 Citations (Scopus)

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 languageEnglish (US)
Number of pages1
JournalPhysical Review Letters
Volume88
Issue number13
DOIs
StatePublished - Jan 1 2002

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predictions
scaling
half planes
random variables
exponents
simulation

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  • Physics and Astronomy(all)

Cite this

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

In: Physical Review Letters, Vol. 88, No. 13, 01.01.2002.

Research output: Contribution to journalArticle

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