Fractal Geometries with Applications in Materials

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

Deadline for manuscript submissions: closed (21 October 2023) | Viewed by 3891

Special Issue Editors


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Guest Editor
Centro de Tecnologías Físicas, Universitat Politécnica de València, 46022 Valencia, Spain
Interests: acoustics materials; noise control; sound propagation in complex media, composite materials, and biomaterials; use of ultrasonic techniques for materials characterization; medical application of ultrasonic techniques for diagnosis; modelling ultrasonic devices

E-Mail Website
Guest Editor
Centro de Tecnologías Físicas, Universitat Politécnica de València, 46022 Valencia, Spain
Interests: acoustics materials; noise control; sound propagation in complex media, composite materials, and biomaterials; use of ultrasonic techniques for materials characterization; medical application of ultrasonic techniques for diagnosis; modelling ultrasonic devices

E-Mail Website
Guest Editor
Centro de Tecnologías Físicas, Universitat Politécnica de València, 46022 Valencia, Spain
Interests: ultrasound propagation in complex media; ultrasonic metamaterials; use of ultrasonic techniques for materials characterization; ultrasonic NDT; medical application of ultrasonic techniques for diagnosis
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Special Issue Information

Dear Colleagues,

We would like to present the call for papers for the launch of a Special Issue of Fractal and Fractional devoted to“Fractal Geometries with Applications to Materials.”

Every structure with symmetry properties of scale invariance, even for a short range, is likely to possess fractal properties. These structures are characterized by a non-integer fractal dimension that can be identified as a measure of their irregularity. It can be said that the whole structure resembles its internal parts, and it has been found that several natural phenomena follow these patterns.

Fractal structures have attracted significant interest from the scientific community, having been applied in several areas of science and technology.

This Special Issue highlights advances in the modeling and development of devices whose underlying materials use fractals. Additionally, we invite reports of any advance in materials that relies on fractals as a mathematical tool. Potential topics include, but are not limited to, the following:

  • Devices with fractal geometries
  • Fractal analysis with applications in physics
  • Fractal geometries in engineering materials
  • Fractal-based biosystems sensors

Dr. Sergio Castiñeira-Ibáñez
Dr. Daniel Tarrazó-Serrano
Prof. Dr. Constanza Rubio Michavila
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.

Published Papers (2 papers)

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Research

14 pages, 9466 KiB  
Article
Fractal Quasi-Coulomb Crystals in Ion Trap with Cantor Dust Electrode Configuration
by Semyon Rudyi, Andrei Ivanov and Dmitrii Shcherbinin
Fractal Fract. 2023, 7(9), 686; https://doi.org/10.3390/fractalfract7090686 - 15 Sep 2023
Viewed by 941
Abstract
We propose a new concept of fractal quasi-Coulomb crystals. We have shown that self-similar quasi-Coulomb crystals can be formed in surface electrodynamic traps with the Cantor Dust electrode configuration. Quasi-Coulomb crystal fractal dimension appears to depend on the electrode parameters. We have identified [...] Read more.
We propose a new concept of fractal quasi-Coulomb crystals. We have shown that self-similar quasi-Coulomb crystals can be formed in surface electrodynamic traps with the Cantor Dust electrode configuration. Quasi-Coulomb crystal fractal dimension appears to depend on the electrode parameters. We have identified the conditions for transforming trivial quasi-Coulomb crystals into self-similar crystals and described the features of forming 25 Ca+ self-similar quasi-Coulomb crystals. The local potential well depth and width have been shown to take a discrete value dependent on the distance from the electrode surface. Ions inside the crystals studied possess varied translational secular frequencies. We believe that the extraordinary properties of self-similar quasi-Coulomb crystals may contribute to the new prospects within levitated optomechanics, quantum computing and simulation. Full article
(This article belongs to the Special Issue Fractal Geometries with Applications in Materials)
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0 pages, 2434 KiB  
Article
3D FEM Simulation and Analysis of Fractal Electrode-Based FBAR Resonator for Tetrachloroethene (PCE) Gas Detection
by Bhargav Panchal, Avanish Bhadauria and Soney Varghese
Fractal Fract. 2022, 6(9), 491; https://doi.org/10.3390/fractalfract6090491 - 1 Sep 2022
Cited by 2 | Viewed by 2579 | Correction
Abstract
This paper presents the FEM modeling and simulation of a thin-film bulk acoustic resonator (FBAR) for a tetrachloroethene (PCE) gas-sensing application. A zinc oxide layer is used as a piezoelectric material; an aluminum layer is used as the electrode material in the structure [...] Read more.
This paper presents the FEM modeling and simulation of a thin-film bulk acoustic resonator (FBAR) for a tetrachloroethene (PCE) gas-sensing application. A zinc oxide layer is used as a piezoelectric material; an aluminum layer is used as the electrode material in the structure of the FBAR. Polyisobutylene (PIB) is used as the sensitive layer for PCE gas detection. The study was carried out in commercially available FEM-based COMSOL software. The proposed structure was exposed to six different organic gases with concentrations ranging from 0 to 1000 ppm. The structure showed high selectivity for PCE gas. Incorporating the 3rd-order Hilbert fractal geometry in the top electrode of the FBAR increased the sensitivity of the sensor which showed high selectivity for PCE gas detection. A sensitivity enhancement of 66% was obtained using fractal geometry on the top electrode of the FBAR without alteration in size or cost. In addition, a reduction in the cross-sensitivity was achieved. Further, the PIB layer thickness and active area of the FBAR were optimized to obtain high sensitivity. The equivalent circuit was also analyzed to understand the behavior of the sensing effect and mechanism. Full article
(This article belongs to the Special Issue Fractal Geometries with Applications in Materials)
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