Dynamic Fractal Mathematical Model

The physical qualities of a material are represented by the matter structure (atoms and molecules). As a result, studying matter structure yields new materials and properties. Because of the unexpected mobility of particles, the matter structure investigation approach is generally stagnant (neglects time). The untraceable movement of particles is currently thought to be chaos, and the most efficient mathematical approach for investigating it is probability. However, the harmonic actions of nanoparticles reveal matter as a system. In other words, nanoparticles appear to be fractals rather than fragments. As a result, a new doctrine is required. The Dynamic Fractal mathematical model that depicts the dynamic structure of matter is presented in this article using the matter system method and dynamic topology. This philosophy could be important for crystal and crystallisation studies due to crystals’ substantial dependence on material structure. Then we can expect more efficient items from businesses like semiconductors, cutting machines, laser technology, watchmaking, and photovoltaic cells.

Author(S) Details

A. Bakhtiari
Georgian Technical University, Tbilisi, 0176, Georgia and AT Advanced Technologies GmbH, Königsbrunn, 86343, Germany.

P. Kervalishvili
Georgian Technical University, Tbilisi, 0176, Georgia.

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