Abstract
The paper considers a charge distribution model in a thundercloud presenting a self-organizing system in view of its fractal structure. An analytical solution to the model equation is obtained. Using numerical calculations, the distribution of charges in the fractal medium is shown and a comparative analysis of the existing models is carried out.
Highlights
To date, on the one hand, great successes have been achieved in solving the mysteries of atmospheric electricity [1,2,3,4,5], but on the other hand we still do not have a reliable picture of the thunderstorm electrification processes, they are still not fully understood
This paper presents fractal modeling for the charge distribution within a self-organizing cloud using the fractional integro-differentiation apparatus
Applying the mathematical apparatus of integro-differentiation, the equation under consideration transforms into a differential equation of fractional order
Summary
On the one hand, great successes have been achieved in solving the mysteries of atmospheric electricity [1,2,3,4,5], but on the other hand we still do not have a reliable picture of the thunderstorm electrification processes, they are still not fully understood. The phase of lightning is preceded by the electrification of water droplets and ice particles, charges separation and accumulation in a thundercloud, which have logical impact on the total charge density [6, 7]. The study of changes in charge density is very important from both the fundamental and practical points of view. One such important item is the mechanisms of space charges distribution within the thunderclouds, since the electric field depends on the charge density. This paper presents fractal modeling for the charge distribution within a self-organizing cloud (thundercloud) using the fractional integro-differentiation apparatus. The electric charge density is considered, assuming that the process takes place in the clouds of monodisperse fine particles with the same charge considering the generationrecombination processes
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