https://doi.org/10.1140/epjc/s10052-016-4009-9
Regular Article - Theoretical Physics
Electromagnetic radiation of charged particles in stochastic motion
1
Department of Physics, Babes-Bolyai University, Kogalniceanu Street, Cluj-Napoca, 400084, Romania
2
Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, UK
3
Astronomical Institute of the Romanian Academy, 19 Cireşilor Street, Cluj-Napoca, 400487, Romania
* e-mail: t.harko@ucl.ac.uk
Received:
9
July
2015
Accepted:
5
March
2016
Published online:
19
March
2016
The study of the Brownian motion of a charged particle in electric and magnetic 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 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.
© The Author(s), 2016
