Geodesic
Mathematical modelling of the formation of a difference in the potentials during crystallization of cloud droplets in view of fractal media
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 10 (2017) no. 3, pp. 16-24

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In this paper, we consider the mechanism of a potential difference occurrence while cloud drops are crystallizing in the convective clouds. Differential equations of fractional order have been applied. We have shown the occurrence of the potential difference at droplets crystallization in the convective clouds essentially depends not only on the rate of the ice growth and dispersion of the bubbles, but also on the fractal environment. Simulation results based on the numerical solution of the graphs depending on different values of the governing parameters.
Keywords: cloud drop; fractal dimension; mathematical model; convective cloud. 
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     author = {T. S. Kumykov},
     title = {Mathematical modelling of the formation of a difference in the potentials during crystallization of cloud droplets in view of fractal media},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
     pages = {16--24},
     publisher = {mathdoc},
     volume = {10},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURU_2017_10_3_a1/}
}
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T. S. Kumykov. Mathematical modelling of the formation of a difference in the potentials during crystallization of cloud droplets in view of fractal media. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, Tome 10 (2017) no. 3, pp. 16-24. http://geodesic.mathdoc.fr/item/VYURU_2017_10_3_a1/