TITLE:
The Evolution of the Charge Density Distribution Function for Spherically Symmetric System with Zero Initial Conditions
AUTHORS:
Evgeny E. Perepelkin, Natalia G. Inozemtseva, Alex A. Zhavoronkov
KEYWORDS:
non-uniform charged sphere, Cauchy problem, charge density distribution, particle-in-cell
JOURNAL NAME:
World Journal of Condensed Matter Physics,
Vol.4 No.1,
February
13,
2014
ABSTRACT: The evolution of the charge density distribution function is simulated for both the case of a uniformly charged sphere with zero initial conditions and for the case of a non-uniform charged sphere.
For the case of a uniformly charged sphere the comparison of a numerical result and an exact analytical demonstrated the agreement between the results. The process of “scattering” of a charged system under the influence of its own electric field has been illustrated on the basis of both the particle-in-cell method and the solution of the Cauchy problem for vector functions of the electric field and vector velocity field of a charged medium.