Long time simulation of a beam in a periodic focusing channel via a two-scale PIC-method

Abstract

We study the two-scale asymptotics for a charged beam under the action of a rapidly oscillating external electric field. After proving the convergence to the correct asymptotic state, we develop a numerical method for solving the limit model involving two time scales and validate its efficiency for the simulation of long time beam evolution.

References in corpus (2)

• Homogenization of the Vlasov Equation and of the Vlasov - Poisson System with a Strong External Magnetic Field
• Application of the averaging method to the gyrokinetic plasma

Cited by in corpus (9)

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• High order and energy preserving discontinuous Galerkin methods for the Vlasov-Poisson system
• Long time simulation of a highly oscillatory Vlasov equation with an exponential integrator
• Uniformly accurate methods for three dimensional Vlasov equations under strong magnetic field with varying direction
• Uniformly accurate methods for Vlasov equations with non-homogeneous strong magnetic field
• Asymptotically preserving particle-in-cell methods for inhomogenous strongly magnetized plasmas
• Two-Scale numerical simulation of sand transport problems
• Error estimates of some splitting schemes for charged-particle dynamics under strong magnetic field
• Two-Scale Macro-Micro decomposition of the Vlasov equation with a strong magnetic field