Motion of charged particles near magnetic-field discontinuities

Motion of Charged Particles in Perturbed Magnetic Fields of Tokamak

In this paper we present two Hamiltonian approaches–full and drift–for description of charged particles (e.g. electrons, D + ) in magnetic field of a tokamak. We use a basic magnetic toroidal field configuration with shear plus overlapping island chains creating magnetic ergodic layer. We would like to use this apparatus for solving two physical problems. Firstly for an estimate of generation o...

Chaotic motion of charged particles in toroidal magnetic configurations.

We study the motion of a charged particle in a tokamak magnetic field and discuss its chaotic nature. Contrary to most of recent studies, we do not make any assumption on any constant of the motion and solve numerically the cyclotron gyration using Hamiltonian formalism. We take advantage of a symplectic integrator allowing us to make long-time simulations. First considering an idealized magnet...

Motion of Charged Particles in Electric & Magnetic Fields

Motion of charged particles around a rotating black hole in a magnetic field

We study the effects of an external magnetic field, which is assumed to be uniform at infinity, on the marginally stable circular motion of charged particles in the equatorial plane of a rotating black hole. We show that the magnetic field has its greatest effect in enlarging the region of stability towards the event horizon of the black hole. Using the Hamilton-Jacobi formalism we obtain the b...

Motion of a charged particle in a magnetic field

Hitherto, we have focussed on applications of quantum mechanics to free particles or particles confined by scalar potentials. In the following, we will address the influence of a magnetic field on a charged particle. Classically, the force on a charged particle in an electric and magnetic field is specified by the Lorentz force law: Hendrik Antoon Lorentz 18531928 A Dutch physicist who shared t...