Visualization of The Lorentz Force Using Fractal Structures

P. Gębaraa, M. Gębarab, K. Kutyniaa, A. Owczarekc, A. Przybyła aDepartment of Physics, Czestochowa University of Technology, al. Armii Krajowej 19, 42-200 Częstochowa, Poland bOffice of European Projects, Jan Długosz University in Częstochowa, Waszyngtona 4/8, 42-200 Częstochowa, Poland cAsten Group Limited, Bór 77/81, 42-200 Częstochowa, Poland

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In the following work, research was carried out on the visualization of Lorentz force using fractal structures. The fractal dimension of dendritic sediments and their morphological change under an external magnetic field generated by a permanent magnet were investigated. The formation of dendrites was determined by the diffusion limited aggregation process that occurs during the electrolysis of CuSO4 solutions. The obtained experimental values of the fractal dimension correspond to the theoretical value. The morphology of the sediments obtained during the tests depends on the molar concentration of the electrolyte, as well as the voltage applied to the electrodes. The computer simulation of the deposits was carried out using an algorithm based on cellular automata. The theoretical values of the fractal dimension after the calculations gave a result of 1.7, and the experimentally obtained mean values of the fractal dimension for CuSO4 were 1.63.

DOI:10.12693/APhysPolA.142.141 topics: diffusion limited aggregation, cellular automata, Lorentz force, dendrites