Surface Science: Fractals, Advanced Fractals, and Multifractals Approaches

A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Engineering".

Deadline for manuscript submissions: closed (31 March 2024) | Viewed by 2564

Special Issue Editors


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Guest Editor
Amazonian Materials Group, Department of Physics, Federal University of Amapá, Macapá 68911-477, AP, Brazil
Interests: surface science and applications

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Guest Editor
Laboratory of Synthesis of Nanomaterials and Nanoscopy, Physics Department, Federal University of Amazonas-UFAM, Manaus 69067-005, AM, Brazil
Interests: AFM; SEM; TEM; surfaces; topographical and morphological characterization of three-dimensional surfaces at the micro/nanoscale; development of new mathematical tools in the investigation of 3D surface quality; theoretic and applied research in advanced materials science in applied sciences; mechanical and tribological characterization of macro–micro-nanostructures; experimental techniques for micro/nanomechanical and micro/nanotribological characterization; fractal and multifractal geometry analysis and applications

Special Issue Information

Dear Colleagues,

Fractal mathematics has been extensively explored for the characterization of different types of surfaces, e.g., thin films, polymeric films, and biological systems. The analysis of images obtained by microscopic techniques, such as AFM, SEM, and TEM, has played an important role during this process. Atomic force microscopy (AFM) and related techniques have been the main tools used for the study of morphological aspects and 3D spatial patterns of surfaces for technological purposes. AFM topographical maps can provide important information about surface morphology, topographical profile, spatial complexity, surface percolation, topographical uniformity, topographical homogeneity, and surface dynamics. In this regard, fractal and multifractal theory are the main mathematical tools used for studying such parameters, which have helped to provide a deep understanding of the behavior of 3D spatial patterns of surfaces at micro- or nano-scale. Thus, this Special Issue is devoted, but not limited, to works encompassing the study of spatial patterns mapped by microscopic techniques using fractal and multifractal theory. Theoretical works resulting from the acquisition of artificial surfaces by computer models that aim to investigate spatial patterns, surface growth, and surface dynamic are also welcome.

Dr. Robert S. Matos
Dr. Henrique Duarte da Fonseca Filho
Dr. Marcelo Amanajás Pires
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Fractal and Fractional is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2700 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Dr. Robert S. Matos
Dr. Henrique Duarte da Fonseca Filho
Dr. Marcelo Pires
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Fractal and Fractional is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2700 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • surfaces and interfaces
  • microscopy and microanalysis
  • atomic force microscopy
  • scanning electron microscopy
  • transmission electron microscopy
  • morphological investigation
  • fractal analysis
  • fractal models applied to surface topography
  • computational models for investigating surface properties
  • advanced fractal analysis
  • surface texture
  • multifractal approaches
  • surface dynamics

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Published Papers (1 paper)

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Research

15 pages, 4996 KiB  
Article
Nanoscale 3D Spatial Analysis of Zirconia Disc Surfaces Subjected to Different Laser Treatments
by Erveton Pinheiro Pinto, Robert S. Matos, Marcelo A. Pires, Lucas dos Santos Lima, Ştefan Ţălu, Henrique Duarte da Fonseca Filho, Shikhgasan Ramazanov, Shahram Solaymani and Claudio Larosa
Fractal Fract. 2023, 7(2), 160; https://doi.org/10.3390/fractalfract7020160 - 6 Feb 2023
Cited by 16 | Viewed by 2004
Abstract
We propose the application of morphological, fractal and multifractal analysis to differentiate surface patterns on zirconia-based ceramics after laser treatments. Furthermore, we introduce two new approaches for ceramic surfaces: the Moran correlogram, which complements the spatial autocorrelation analyses, and the Otsu binarization algorithm, [...] Read more.
We propose the application of morphological, fractal and multifractal analysis to differentiate surface patterns on zirconia-based ceramics after laser treatments. Furthermore, we introduce two new approaches for ceramic surfaces: the Moran correlogram, which complements the spatial autocorrelation analyses, and the Otsu binarization algorithm, which was used to identify the lacunar points in the lacunarity analysis. First, the AFM (Atomic Force Microscope) topographies revealed that samples have significant differences in terms of spatial features. Quantitatively, spatial surface texture parameters indicated that all laser treatments reduced the superficial isotropy of the Zirconia disc. Moran’s correlograms revealed a decrease in the short-range correlation in all treated samples. The Minkowski functionals (MFs) indicated a reduction in the amount of matter in the peaks, especially for the sample with Nd-YAG laser treatment. The estimated fractal dimension (FD) pointed out that all laser treatments weakened the surface complexity of the Zirconia disc. On the other hand, clear fingerprints of multifractal behavior in all the samples were detected, where the highest degree of multifractality was computed for the samples with CO2 laser treatment. Finally, our findings suggested that the morphological changes caused by laser treatments on the surfaces of zirconia discs can be monitored and differentiated through the parameters proposed here. Full article
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