PERCOLATION TRANSITION AND TOPOLOGY

Patricia Jouannot-Chesney; Jean-Paul Jernot; Christian Lantuéjoul

doi:10.5566/ias.1573

Authors

Patricia Jouannot-Chesney CRISMAT/CNRT/ENSICAEN
Jean-Paul Jernot CRISMAT/CNRT/ENSICAEN
Christian Lantuéjoul Mines ParisTech, Centre de Géosciences

DOI:

https://doi.org/10.5566/ias.1573

Keywords:

Euler-Poincaré characteristic, percolation threshold, topology

Abstract

A number of bidimensional random structures with increasing densities are simulated to explore possible links between Euler-Poincaré characteristic (EPC), or connectivity, and percolation threshold. For each structure model, the percolation threshold is compared with a number of typical points (extrema, zero crossings...) of the EPC curve. From these exercises, it can be concluded that the percolation threshold cannot be generally predicted using the evolution of the EPC.

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