Percolation thresholds of 3D all-sided percolation clusters in non-cubic domains

• Autorzy: Katunin A.

Identyfikatory

DOI

10.17512/jamcm.2016.4.07

• Języki publikacji: EN

Abstrakty

EN

The critical 3D all-sided percolation clusters in aL×L×L and aL×aL×L threedimensional domains with a side length L and an aspect ratio a obtained from continuous percolation problem were analysed in this paper. The simulations of continuous percolation were performed in parallelepiped domains starting from a = 1 and ending at a = 10 using the Monte Carlo algorithm. The resulting percolation thresholds for the simulated domains and percolation clusters as well as variability of number of cells in a domain and in a percolation cluster with variation of a were analysed. The obtained results are useful for evaluation of a content of electrically conducting particles in the dielectric matrix of a composite developed for aircraft lightning strike protection purposes.

Słowa kluczowe

EN

3D percolation; percolation threshold; all-sided percolation cluster; percolation in parallelepiped domain; Monte Carlo simulation

PL

próg perkolacji; model perkolacji izolatora; symulacja Monte Carlo

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2016
• Tom: Vol. 15, nr 4
• Strony: 63--69
• Opis fizyczny: Bibliogr. 22 poz., rys.

Twórcy

autor

Katunin A.

• Institute of Fundamentals of Machinery Design, Silesian University of Technology, Gliwice, Poland

Bibliografia

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.