A regular model for bond percolation: the approach towards the threshold
Abstract
A twodimensional regular model is constructed for bond percolation via a rule of bond deletions on the square lattice. The model describes the approach towards the threshold. The critical bond concentration p_{c} and the correlation length exponent nu are found. The fractal geometry of the infinite percolating network and the scaling property of the cluster size distribution are studied above the threshold. The infinite percolating network is shown to be reconstructed by the MandelbrotKoch curve proposed as the nonrandom model for the infinite cluster at criticality.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 December 1985
 DOI:
 10.1088/03054470/18/18/007
 Bibcode:
 1985JPhA...18L1149N