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This paper deals with the numerical resolution of the Vlasov-Poissonsystemwith a strong external magnetic field by Particle-In-Cell(PIC) methods. In thisregime, classical PIC methods are subject tostability constraints on the timeand space steps related to the smallLarmor radius and plasma frequency. Here,we propose anasymptotic-preserving PIC scheme which is not subjected totheselimitations. Our approach is based on first and higher order semi-implicitnumericalschemes already validated on dissipative systems. Additionally, whenthe magnitude of the external magneticfield becomes large, this method providesa consistent PICdiscretization of the guiding-center equation, that is,incompressibleEuler equation in vorticity form. We propose several numericalexperiments which provide a solid validation of the method and its underlyingconcepts.

Asymptotically stable particle-in-cell methods for the Vlasov-Poisson system with a strong external magnetic field