Multifractal Analysis of 3D Correlated Nanoporous Networks

C. Carrizales-Velazquez, Carlos Felipe, Ariel Guzmán-Vargas, Enrique Lima, L. Guzmán-Vargas
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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.
三维相关纳米多孔网络的多分形分析
在这项研究中,我们利用蒙特卡罗方法和双位点-键模型(DSBM)模拟了具有不同相关度的三维纳米多孔网络。构建过程非常稳健,涉及位点和键的随机交换,直到达到最可能的构型(平衡)。由此产生的网络在位点和键的空间组织上表现出不同程度的异质性。然后,我们开始对这些网络进行全面的多分形分析,对纳米多孔元素交换的影响以及孔隙大小对多孔网络拓扑结构的相关性进行了全面的描述。我们的研究结果提供了令人信服的证据,证明当这些纳米多孔网络的位点和键的大小呈现出不同程度的相关性时,它们的多分形会发生变化。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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