Tomographic-like reconstruction of the percolation cluster as a phase transition

Details Tomographic-like reconstruction of the percolation cluster as a phase transition Tomographic-like reconstruction of the percolation cluster as a phase transition

2002-07-30

arxiv.org/abs/cond-mat/0207709v1

Phys Rev B 65,134526 (2002). Rapid communication

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 revtex pages, 3 figures

Scientific paper

10.1103/PhysRevB.66.020102

We observed a phase transition-like 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 cut-off 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.

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