1996/03/31 by Gerard Watts, G M T Watts · 2 citations
Mathematics · Physics and Astronomy · #Boundary (topology) #Continuum percolation theory #Directed percolation #Function (biology) #Limit (mathematics) #Percolation (cognitive psychology) #Percolation critical exponents #Percolation threshold #Random Matrices and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat #hep-th
paper · pdf · doi:10.1088/0305-4470/29/14/002
published as J.Phys. A29 (1996) L363 · 8 pages, Latex2e, 1 figure, uuencoded compressed tar file, (1 typo changed)
arxiv created 1996/04/03 · openalex publication_date 1996/07/21 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Langlands et al considered two crossing probabilities, and , in their extensive numerical investigations of critical percolation in two dimensions. Cardy was able to find the exact form of by treating it as a correlation function of boundary operators in the limit of the Q-state Potts model. We extend his results to find an analogous formula for which compares very well with the numerical results.