Abstract
For the dielectric-breakdown model a general method is presented for calculation of the growth probability on the growing-perimeter sites of the aggregate at a surface. The growth probability is given by solving the electrostatic problem for a superconducting aggregate in the semi-infinite normal-resistor network. The electric field at the perimeter site is obtained by solving the resistor-network problem with the lattice bond-bond Green’s function. The fractal dimension D is found from the scaling assumption for the cluster-top occupancy probability.
- Received 7 October 1986
DOI:https://doi.org/10.1103/PhysRevA.35.2765
©1987 American Physical Society