A crossing probability for critical percolation in two dimensions

Details A crossing probability for critical percolation in two dimensions A crossing probability for critical percolation in two dimensions

1996-03-22

arxiv.org/abs/cond-mat/9603167v2

J.Phys. A29 (1996) L363

Physics

Condensed Matter

8 pages, Latex2e, 1 figure, uuencoded compressed tar file, (1 typo changed)

Scientific paper

10.1088/0305-4470/29/14/002

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 goes to 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.

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