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

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

2007-10-22

arxiv.org/abs/0710.3983v1

Mathematical Models and Methods in Applied Sciences 19, 2 (2009) 175-197

Mathematics

Numerical Analysis

Scientific paper

10.1142/S0218202509003395

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.

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