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Digitale Medien

High-precision Monte Carlo test of the conformai-invariance predictions for two-dimensional mutually avoiding walks (1990)

Li, Bin ; Sokal, Alan D.

Springer

Journal of statistical physics 61 (1990), S. 723-748

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Details

ISSN: 1572-9613

Schlagwort(e): Monte Carlo ; conformal invariance ; random walk ; mutually-avoiding walks ; self-avoiding walk ; maximum-likelihood estimation

Quelle: Springer Online Journal Archives 1860-2000

Thema: Physik

Notizen: Abstract Let ζ l be the critical exponent associated with the probability thatl independentN-step ordinary random walks, starting at nearby points, are mutually avoiding. Using Monte Carlo methods combined with a maximum-likelihood data analysis, we find that in two dimensions ζ2=0.6240±0.0005±0.0011 and ζ3=1.4575±0.0030±0.0052, where the first error bar represents systematic error due to corrections to scaling (subjective 95% confidence limits) and the second error bar represents statistical error (classical 95% confidence limits). These results are in good agreement with the conformal-invariance predictions ζ2=5/8 and ζ3=35/24.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01027299

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