Poisson-Vlasov in a strong magnetic field: A stochastic solution approach
R. Vilela Mendes
TL;DR
This paper develops stochastic solutions for the Maxwell-Vlasov equation under a strong magnetic field approximation, enabling analysis of plasma behavior with simplified magnetic fluctuation considerations.
Contribution
It introduces a novel stochastic solution approach for the Maxwell-Vlasov equation in the strong magnetic field regime, using both Fourier and configuration space methods.
Findings
Stochastic solutions successfully derived for the Maxwell-Vlasov equation
Approximations neglecting magnetic fluctuations are valid for strong magnetic fields
Both Fourier and configuration space solutions are constructed
Abstract
Stochastic solutions are obtained for the Maxwell-Vlasov equation in the approximation where magnetic field fluctuations are neglected and the electrostatic potential is used to compute the electric field. This is a reasonable approximation for plasmas in a strong external magnetic field. Both Fourier and configuration space solutions are constructed.
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