Stochastic and Spectral Particle Methods for Plasma Physics

Abstract

The Monte Carlo Particle-In-Cell (PIC) method couples a particle density to a grid-based field solver resulting in particle noise. This noise can be quantified by stochastic methods and also be reduced by variance reduction methods such as control variates. For plasma physics governed by few Fourier modes the gridless energy and momentum conserving Particle-in-Fourier (PIF) is introduced for the Vlasov-Maxwell system.