Brownian motion and fractal nature

Abstract

<jats:p> The main goal of our research is to find the connection between micro particles and microorganisms motion in the Nature, considered as Brownian’s Motion within the fractal’s nature. For ceramics and generally material science it is important to clarify the particles motion and other phenomena, especially for grains and pores. Our idea is to establish control over the relation order–disorder on particle motion and their collision effects by Brownian motion phenomena in the frame of fractal nature matter. We performed some experiments and got interesting results based on microorganism motion initiated by different outer energetic impulses. This is practically the idea of biomimetic correlation between particles and microorganisms Worlds, what is very original and leads towards biunivocal different phenomena’s understanding. Another idea is to establish some controlling effects for electro ceramic particle motion in chemical-materials sciences consolidation by some phenomena in the nature. These important research directions open new frontiers with very specific reflections for future of microelectronics materials. </jats:p>

Editorial: In Memoriam of Professor Dr. Vojislav V. Mitić (1955–2021): A Distinguished Scholar With Unique Characters in the Fields of Brownian Motion, Fractal Analysis, and Ceramic Chemistry

“…Mitić was not only productive scientifically but also possessed the magnetic power to drive international scientists and interdisciplinary experts to team up. Under his leadership and together with his colleagues from Taiwan, Ukraine, and the United States, the research team explored the connection between micro particles and microorganisms motion in the nature (Mitić et al, 2020c). They successfully obtained 2D trajectories of fractal analysis and Brownian motion for submicroorganisms, which were energized by outer impulses (Figure 1).…”

“…Throughout the entire career, Mitić has also devoted very much of his efforts on the illustration of different features among the Euclidean geometry, Voronoi model, and the fractal nature of matters with related geometry. He used many examples to demonstrate and explain the varieties emerging from alloys, electro-ceramics, and bio-ceramics (Mitić et al, 1996c;Mitić et al, 2010b;Mitić et al, 2013b;Mitić et al, 2020c). He proved what was possible to be done by applying the Voronoi model and fractals.…”

“…The unique approach with the combination of the Voronoi model and fractals offer a much more natural approximation of physically advanced technology structures than Euclidean geometry. Therefore, the procedural parameters would have fractals in nature with energy changing and Brownian walk (Mitić et al, 2020c;Aleksić et al, 2021;Hwu et al, 2021;Mitić et al, 2021;Randjelović et al, 2021). With regard to the necessity of future miniaturization, it is of importance to come up with new methods for the prediction of microstructure morphology that could be faster and more precise (Mitić et al, 2013a).…”

“…The input signals are massively parallel processed; the output presents the superposition of all parallel processed signals. On the basis of these principles, Mitić started to work on artificial neural networks for solving various problems, such as pattern recognition, clustering, and functional optimization (Mitić et al, 2020c). His research team analyzed thermophysical parameters of samples based on Murata powders and consolidated by sintering processes.…”

“…Furthermore, Mitić continued to apply neural networks to prognose structural and thermophysical parameters. Consolidation sintering process is crucial to prognose; yet its design requires many parameters (Mitić et al, 2020c;Mitić et al, 2021). To avoid long and even incorrect experiments that are wasting time, materials, and energy, he introduced an artificial neural network method (Mitić et al, 2020a).…”