Harmonic measure for percolation and ising clusters including rare events.
Phys Rev Lett
; 101(14): 144102, 2008 Oct 03.
Article
en En
| MEDLINE
| ID: mdl-18851532
ABSTRACT
We obtain the harmonic measure of the hulls of critical percolation clusters and Ising-model Fortuin-Kastelyn clusters using a biased random-walk sampling technique which allows us to measure probabilities as small as 10{-300}. We find the multifractal D(q) spectrum including regions of small and negative q. Our results for external hulls agree with Duplantier's theoretical predictions for D(q) and his exponent -23/24 for the harmonic measure probability distribution for percolation. For the complete hull, we find the probability decays with an exponent of -1 for both systems.
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Colección:
01-internacional
Banco de datos:
MEDLINE
Tipo de estudio:
Prognostic_studies
Idioma:
En
Revista:
Phys Rev Lett
Año:
2008
Tipo del documento:
Article
País de afiliación:
Estados Unidos