Two-Dimensional Description of Charged Plasma Particle in Electromagnetic Fields of Static Electric and Magnetic Field Potentials


Authors : Egbo C. A; Ngiangia A. T; Abbey T. M

Volume/Issue : Volume 6 - 2021, Issue 11 - November


Google Scholar : http://bitly.ws/gu88

Scribd : https://bit.ly/3dEqgMI


Abstract : An analytic approach was used to investigate the two-dimensional motion of charged matter particles of electron plasma in electromagnetic fields. In this study, the Lagrange equation for the total energy of a system of electron plasma particles, with kinetic energy function of the particle moving with a velocity, and a potential energy function derived from the Lorentz force of an electric field scalar and magnetic field vector potentials. The velocity and acceleration of the electron plasma specie were obtained from the equation describing the path of the plasma particle in the x and y axis. An erratic-looking oscillatory motion of the velocity and acceleration components, with irregularities in the amplitude and wavelengths of their motion as they drift, is shown in the profile of results presented. Our result further shows that the electric field is directly responsible for the amplitude of these chaotic oscillatory wave motion exhibited by electron plasma in electromagnetic field. While the magnetic field influences absolutely the irregularities in the amplitude of the wavelengths motion and the damping of the oscillatory motion as the magnetic field strength increases.

Keywords : Plasma, Electromagnetic fields, Lorentz force, Lagrange Equation.

An analytic approach was used to investigate the two-dimensional motion of charged matter particles of electron plasma in electromagnetic fields. In this study, the Lagrange equation for the total energy of a system of electron plasma particles, with kinetic energy function of the particle moving with a velocity, and a potential energy function derived from the Lorentz force of an electric field scalar and magnetic field vector potentials. The velocity and acceleration of the electron plasma specie were obtained from the equation describing the path of the plasma particle in the x and y axis. An erratic-looking oscillatory motion of the velocity and acceleration components, with irregularities in the amplitude and wavelengths of their motion as they drift, is shown in the profile of results presented. Our result further shows that the electric field is directly responsible for the amplitude of these chaotic oscillatory wave motion exhibited by electron plasma in electromagnetic field. While the magnetic field influences absolutely the irregularities in the amplitude of the wavelengths motion and the damping of the oscillatory motion as the magnetic field strength increases.

Keywords : Plasma, Electromagnetic fields, Lorentz force, Lagrange Equation.

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