Percolation by position-space renormalisation group with large cells

Abstract

The authors demonstrate that the critical properties of the percolation model can be obtained with a rather high degree of accuracy by extrapolating to b= infinity a sequence of position-space renormalisation group calculations for finite cells of side b. For bc and the scaling powers y_p and y_h at the various values of b. Finally, we introduce a transformation from a cell of side b to a cell of side b', which may be viewed as an 'infinitesimal' transformation with a scale change of b/b'.