A Particle Method for a Collisionless Plasma with Infinite Mass
This work provides a numerical method for a previously intractable class of plasma physics problems involving non-compact support, enabling new simulations of kinetic phenomena.
The paper develops a particle method for the one-dimensional Vlasov-Poisson system with infinite mass, modeling plasma phenomena like solar wind, and uses it to study the time asymptotics of the electrostatic field.
The one-dimensional Vlasov-Poisson system is considered and a particle method is developed to approximate solutions without compact support which tend to a fixed background of charge as $| x | \to \infty$. Such a system of equations can be used to model kinetic phenomena occurring in plasma physics, such as the solar wind. The particle method is constructed, implemented, and used to determine information regarding the time asymptotics of the electrostatic field.