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

Nira Shimoni·Doron Azulai·Isaac Balberg·Oded Millo
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Abstract

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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Nira Shimoni, Doron Azulai, Isaac Balberg, Oded Millo. 2002-07-30. Tomographic-like reconstruction of the percolation cluster as a phase transition. https://doi.org/10.1103/physrevb.66.020102

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