We observed a phase-transitionlike behavior that is marked by the onset of the realization of the connectivity between two sites on a two-dimensional cross section of a three-dimensional percolation cluster. This was found using contact-resistance atomic force microscopy on carbon black/polymer composites. The features in the current images, when presented as a function of the cutoff current, or as a function of the total area covered by the electrically connected objects, appear to obey a cluster statistics that is similar to the one predicted and observed in continuum percolation systems.
|Number of pages
|Physical Review B - Condensed Matter and Materials Physics
|Published - 2002