Funct. Mater. 2020; 27 (1): 159-169.

doi:https://doi.org/10.15407/fm27.01.159

Formation of volume conductive inclusions under layerwise sample growth

R. Ye. Brodskii

Institute for Single Crystals, STC "Institute for Single Crystals", National Academy of Sciences of Ukraine, 60 Nauky Ave., 61001 Kharkiv, Ukraine

Abstract: 

The paper considers a continuous-discrete percolation problem. A laminated, i.e. discrete in the direction of packing of layers, system with continuous conductive inclusions in each layer is studied; these inclusions in adjacent layers can contact each other. The probabilities of the formation of through conductive inclusions in the sample (the probability of percolation) for different parameters of the formation of the layers are estimated. The average conductivity values are also obtained for those cases when a conductive inclusion exists.

Keywords: 
continuous-discrete percolation, volume conductive inclusion, layerwise growth.

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