Abstract
A renormalisation group transformation is developed for two-dimensional site-percolation problems by using a scaling transformation in real space. A transition matrix A is defined for each cell, and the renormalised probability p'(p) of occupation of the cell is identified with the dominant eigenvalue R1(p) of the transition matrix. A simple RG transformation has been applied on the square lattice up to cells of size 6*6 and the results for critical probability pc and exponent v are given. A modified RG has been applied to the three planar lattices, and pc and v have been calculated for the simplest choice of the cells. The modified RG transformation seems to yield better results as the coordination number of the lattice increases.
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