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Transparent windows in a layered medium with mosaic layers.Windows distribution by area

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  • Brodskii, Roman Ye.

Abstract

The work considers a layered system, the layers of which consist of transparent and opaque elements. At the places where parts of the transparent elements are opposite each other in all layers, a transparent through window is formed. The work is devoted to the case when transparent and opaque elements are the cells of a Voronoi mosaic. The distributions of windows by area were obtained for different values of parameters – the number of layers, the average size of cells, the part of transparent cells from their total number. It is shown that the numerically obtained distributions for the case under consideration are very well described by the approximation found analytically for a simplified system. The conditions for its applicability are found. The distributions over the area of the entire “transparent through” region in the sample were obtained.

Suggested Citation

  • Brodskii, Roman Ye., 2024. "Transparent windows in a layered medium with mosaic layers.Windows distribution by area," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 639(C).
    • Handle: RePEc:eee:phsmap:v:639:y:2024:i:c:s0378437124001596
    DOI: 10.1016/j.physa.2024.129651
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    References listed on IDEAS

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    1. Ferenc, Járai-Szabó & Néda, Zoltán, 2007. "On the size distribution of Poisson Voronoi cells," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(2), pages 518-526.
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