J. Fournier et al., FRACTAL ANALYSIS OF THE PERCOLATION NETWORK IN EPOXY-POLYPYRROLE COMPOSITES, Physical review. B, Condensed matter, 56(9), 1997, pp. 5207-5212
The macroscopic de conductivity and structure of epoxy-polypyrrole com
posites are studied as a function of the polypyrrole amount and interp
reted with percolation concepts. The fractal dimension D of the infini
te cluster is found to increase substantially from 1.25 to 1.88 with t
he conducting filler concentration. An original representation of the
conducting backbone is obtained using image analysis techniques and su
ggests a finitely ramified structure. The Minkowski dimension of the b
ackbone is determined to be an excellent approximation of the fractal
dimension D-B and it is seen to increase as the polypyrrole concentrat
ion increases while the fractal dimension of the elastic backbone is f
ound to keep the constant value D-E = 1.13. These results are compared
to scaling percolation theory.