PERCOLATION TRANSITION AND TOPOLOGY
DOI:
https://doi.org/10.5566/ias.1573Keywords:
Euler-Poincaré characteristic, percolation threshold, topologyAbstract
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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