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Optimal-path cracks in correlated and uncorrelated lattices

Optimal-path cracks in correlated and uncorrelated lattices

The optimal path crack model on uncorrelated surfaces, recently introduced by Andrade et al. (Phys. Rev. Lett. 103, 225503, 2009), is studied in detail and its main percolation exponents computed. In addition to beta/nu = 0.46 \pm 0.03 we report, for the first time, gamma/nu = 1.3 \pm 0.2 and …