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Site Percolation in a Square Lattice with Second- and Dilute First-Neighbor Bonds

1981; American Physical Society; Volume: 47; Issue: 20 Linguagem: Inglês

10.1103/physrevlett.47.1423

1092-0145

Paulo Murilo Castro de Oliveira,

Random Matrices and Applications

A two-parameter real-space renormalization-group approach to the site-percolation problem in a square lattice is proposed. The two parameters are the concentration $p$ of active first-neighbor bonds, and the concentration $q$ of occupied sites. From these two parameters one can calculate two independent critical exponents, and the others can be obtained through scaling relations, with no need of external applied fields.