Thermal Motion of Charged Particles in Confined Ensemble under Constant Electromagnetic Field

Thermal motion of charged particles in the field of electrostatic trap under an influence of constant magnetic field is investigated analytically and numerically. For the first time the conditions for energy balance of these particles in the systems with the spatially non-uniform thermal sources are proposed. The numerical simulations were carried out for the ensembles consisting of one to thousands of particles in a wide range of parameters of the analyzed systems. Comparisons of their spectral characteristics are presented. We found that the shape of the spectral density distributions in these systems is practically independent of the number of particles in the analyzed ensembles, and their characteristic frequencies can be obtained by an analytical solution of motion equations for a single charged particle.