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

Nira Shimoni; Doron Azulai; Isaac Balberg; Oded Millo

doi:10.1103/PhysRevB.66.020102

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

Nira Shimoni, Doron Azulai, Isaac Balberg, Oded Millo^*

^*Corresponding author for this work

Racah Institute of Physics

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

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.

Original language	American English
Article number	020102
Pages (from-to)	201021-201024
Number of pages	4
Journal	Physical Review B - Condensed Matter and Materials Physics
Volume	66
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevB.66.020102
State	Published - 1 Jul 2002

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10.1103/PhysRevB.66.020102

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AB - 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.

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

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