The diocotron instability in Penning traps is studied with a new simulation code based upon the point-vortex method. The equations of motion for the computational particles are solved by using the fourth-order Runge-Kutta method. Cylindrical coordinates are used in the solution of the Poisson’s equation, allowing the boundary conditions for the electric potential to be applied exactly; moreover, an efficient algorithm based on the Fast Fourier Transform can be employed. The code has been validated by considering the linear evolution of the diocotron instability. Comparisons have shown excellent agreement between the simulation results and the ones obtained with the linear theory.
Simulation of the Evolution of the Diocotron Instability
D'ANGOLA, Antonio;
1999-01-01
Abstract
The diocotron instability in Penning traps is studied with a new simulation code based upon the point-vortex method. The equations of motion for the computational particles are solved by using the fourth-order Runge-Kutta method. Cylindrical coordinates are used in the solution of the Poisson’s equation, allowing the boundary conditions for the electric potential to be applied exactly; moreover, an efficient algorithm based on the Fast Fourier Transform can be employed. The code has been validated by considering the linear evolution of the diocotron instability. Comparisons have shown excellent agreement between the simulation results and the ones obtained with the linear theory.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
