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.
