Abstract
A computationally efficient variance reduction technique for Monte Carlo simulations of electrons and ions in weakly ionized gases is proposed. The transport of charged particles under electric and magnetic fields is expressed as a discrete-time Markov process in a grid. This results in a significant reduction of the computational time and statistical fluctuations of the computed velocity distribution functions (VDFs). The results are presented for a model gas and different values of the Hall parameter. The method is then applied to simulations of electrons in D2 and H+ ions in H2 using state-of-the-art cross sections and different values of externally applied electric and magnetic fields. It is shown that this approach allows one to study the combined effects of electric and magnetic fields on charged particles transport in a notably simple way, without employing a spherical harmonic expansion of the VDF.
Published Version
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