ISSN:
1572-9613
Keywords:
Monte Carlo
;
conformal invariance
;
random walk
;
mutually-avoiding walks
;
self-avoiding walk
;
maximum-likelihood estimation
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01027299
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