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Article

Multifractal Analysis of 3D Correlated Nanoporous Networks

by
Carlos Carrizales-Velazquez
1,
Carlos Felipe
2,*,
Ariel Guzmán-Vargas
3,
Enrique Lima
4 and
Lev Guzmán-Vargas
1,*
1
Laboratorio de Sistemas Complejos, Unidad Profesional Interdisciplinaria en Ingenierías y Tecnologías Avanzadas, Instituto Politécnico Nacional, Mexico City 07340, Mexico
2
Departamento de Biociencias e Ingeniería, Centro Interdisciplinario de Investiigaciones y Estudios sobre Medio Ambiente y Desarrollo, Instituto Politécnico Nacional, Mexico City 07340, Mexico
3
Laboratorio de Investigación en Materiales Porosos, Catálisis Ambiental y Química Fina, Escuela Superior de Ingenieria Química e Industrias Extractivas, Instituto Politécnico Nacional, Mexico City 07738, Mexico
4
Laboratorio de Fisicoquímica y Reactividad de Superficies (LaFReS), Instituto de Investigaciones en Materiales, Universidad Nacional Autónoma de México, Mexico City 04510, Mexico
*
Authors to whom correspondence should be addressed.
Fractal Fract. 2024, 8(7), 424; https://doi.org/10.3390/fractalfract8070424
Submission received: 15 June 2024 / Revised: 12 July 2024 / Accepted: 17 July 2024 / Published: 19 July 2024

Abstract

In this study, we utilize Monte Carlo methods and the Dual Site-Bond Model (DSBM) to simulate 3D nanoporous networks with various degrees of correlation. The construction procedure is robust, involving a random exchange of sites and bonds until the most probable configuration (equilibrium) is reached. The resulting networks demonstrate different levels of heterogeneity in the spatial organization of sites and bonds. We then embark on a comprehensive multifractal analysis of these networks, providing a thorough characterization of the effect of the exchanges of nanoporous elements and the correlation of pore sizes on the topology of the porous networks. Our findings present compelling evidence of changes in the multifractality of these nanoporous networks when they display different levels of correlation in the site and bond sizes.
Keywords: 3D correlated nanoporous networks; multifractal analysis; dual site-bond model 3D correlated nanoporous networks; multifractal analysis; dual site-bond model

Share and Cite

MDPI and ACS Style

Carrizales-Velazquez, C.; Felipe, C.; Guzmán-Vargas, A.; Lima, E.; Guzmán-Vargas, L. Multifractal Analysis of 3D Correlated Nanoporous Networks. Fractal Fract. 2024, 8, 424. https://doi.org/10.3390/fractalfract8070424

AMA Style

Carrizales-Velazquez C, Felipe C, Guzmán-Vargas A, Lima E, Guzmán-Vargas L. Multifractal Analysis of 3D Correlated Nanoporous Networks. Fractal and Fractional. 2024; 8(7):424. https://doi.org/10.3390/fractalfract8070424

Chicago/Turabian Style

Carrizales-Velazquez, Carlos, Carlos Felipe, Ariel Guzmán-Vargas, Enrique Lima, and Lev Guzmán-Vargas. 2024. "Multifractal Analysis of 3D Correlated Nanoporous Networks" Fractal and Fractional 8, no. 7: 424. https://doi.org/10.3390/fractalfract8070424

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