Study of the critical probability of percolation in a 3D system with pores of random radius for variable grids



Document title: Study of the critical probability of percolation in a 3D system with pores of random radius for variable grids
Journal: Revista mexicana de física
Database: PERIÓDICA
System number: 000439159
ISSN: 0035-001X
Authors: 1
2
1
2
Institutions: 1Universidad Autónoma del Estado de Morelos, Centro de Investigación en Ingeniería y Ciencias Aplicadas, Cuernavaca, Morelos. México
2Universidad Autónoma del Estado de Morelos, Facultad de Contaduría, Administración e Informática, Cuernavaca, Morelos. México
Year:
Season: May-Jun
Volumen: 66
Number: 3
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico, teórico
English abstract We numerically study the percolation in 3D porous materials, populated by pores with random sizes on 3D grid of variable sizes. We identify the clusters for each grid as well as the infinite cluster that is defined by the critical probability through the neighborhood hybrid structure method. We also determine the characteristic size of each cluster in the material as well as the volume of the infinite cluster that allows optimizing the percolation step at our simulation. In this work, several tests were performed changing the size of the grid. This allows us to determine the optimal size and how it affects the percolation by the simulating grids. Our main results show that in systems with pores having random radii the critical probability increases when size of grid L > 40 (that correspond to typical size system about 4000 nm) with respect of the case with uniform pores
Disciplines: Física y astronomía
Keyword: Agrupamiento,
Percolación,
Poros,
Red
Keyword: Physics,
Clustering,
Percolation,
Pores,
Grid
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