Electromagnetic radiation of charged particles in stochastic motion

TL;DR

This paper investigates the electromagnetic radiation emitted by a charged particle undergoing stochastic Brownian motion under various external fields and potentials, providing numerical solutions and spectral analysis of the emitted radiation.

Contribution

It introduces a detailed numerical analysis of radiation spectra for charged particles in stochastic motion with external fields, including memory effects and harmonic potentials, expanding understanding of emission characteristics.

Findings

Power Spectral Density shows peaks at specific frequencies.

Radiation spectra depend on external fields and memory effects.

Numerical solutions provide detailed motion and emission profiles.

Abstract

The study of the Brownian motion of a charged particle in electric and magnetic fields fields has many important applications in plasma and heavy ions physics, as well as in astrophysics. In the present paper we consider the electromagnetic radiation properties of a charged non-relativistic particle in the presence of electric and magnetic fields, of an exterior non-electromagnetic potential, and of a friction and stochastic force, respectively. We describe the motion of the charged particle by a Langevin and generalized Langevin type stochastic differential equation. We investigate in detail the cases of the Brownian motion with or without memory in a constant electric field, in the presence of an external harmonic potential, and of a constant magnetic field. In all cases the corresponding Langevin equations are solved numerically, and a full description of the spectrum of the emitted radiation and of the physical properties of the motion is obtained. The Power Spectral Density (PSD) of the emitted power is also obtained for each case, and, for all considered oscillating systems, it shows the presence of peaks, corresponding to certain intervals of the frequency.