The Evolution of the Charge Density Distribution Function for Spherically Symmetric System with Zero Initial Conditions

Evgeny E. Perepelkin; Natalia G. Inozemtseva; Alex A. Zhavoronkov

doi:10.4236/wjcmp.2014.41005

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The Evolution of the Charge Density Distribution Function for Spherically Symmetric System with Zero Initial Conditions

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DOI: 10.4236/wjcmp.2014.41005 3,417 Downloads 4,779 Views Citations

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Evgeny E. Perepelkin, Natalia G. Inozemtseva, Alex A. Zhavoronkov

Affiliation(s)

Faculty of Physics, Moscow State University, Moscow, Russian Federation.
International University “Dubna”, Dubna, Russian Federation.
Moscow Institute of Physics and Technology, Dolgoprudny, Russian Federation.

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.

KEYWORDS

non-uniform charged sphere, Cauchy problem, charge density distribution, particle-in-cell

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

E. Perepelkin, N. Inozemtseva and A. Zhavoronkov, "The Evolution of the Charge Density Distribution Function for Spherically Symmetric System with Zero Initial Conditions," World Journal of Condensed Matter Physics, Vol. 4 No. 1, 2014, pp. 33-38. doi: 10.4236/wjcmp.2014.41005.

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