A crossing probability for critical percolation in two dimensions

G M T  Watts

doi:10.1088/0305-4470/29/14/002

A crossing probability for critical percolation in two dimensions

G M T Watts

Univ London, Kings Coll

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Abstract

Langlands et al considered two crossing probabilities, pi(h) and pi(hv), in their extensive numerical investigations of critical percolation in two dimensions. Cardy was able to find the exact form of pi(h) by treating it as a correlation function of boundary operators in the Q --> 1 limit of the Q-state Potts model. We extend his results to find an analogous formula for pi(hv) which compares very well with the numerical results.

Original language	English
Pages (from-to)	L363-L368
Number of pages	6
Journal	JOURNAL OF PHYSICS A MATHEMATICAL AND GENERAL
Volume	29
Issue number	14
DOIs	https://doi.org/10.1088/0305-4470/29/14/002
Publication status	Published - 21 Jul 1996

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A crossing probability for critical percolation in two dimensions

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