The Adiabatic Motion of Charged Particles

Asymptotics of Rohrlich’s equation of motion for charged particles

We study the behavior in the remote past and future of solutions of an equation of motion for charged particles proposed by Rohrlich, for the special case in which the motion is in one spatial dimension. We observe that an appropriate “initial condition” to uniquely specify a solution is a specification of the four-velocity u(τ ) on a closed interval of proper time a ≤ τ ≤ b, subject to a consi...

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...

Averaged Motion of Charged Particles in a Curved Strip

This paper is concerned with the motion of electrically charged particles in \curved" inn-nite strip. The equations of motion are ' = with initial and boundary conditions, where ' is the electric potential, is the particle trajectory, P is the charge distribution, and J is the Jacobian. The lower boundary ? 0 of the strip is grounded. Therefore, once a particle reaches ? 0 ; it loses its charge...

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