This paper reviews Vlasov-based numerical methods used to model plasma in space
physics and astrophysics. Plasma consists of collectively behaving charged particles that …

The first self-consistent simulations of electron acceleration during magnetic reconnection in
a macroscale system are presented. Consistent with solar flare observations, the spectra of …

This review is devoted to the universal algebraic and geometric properties of the non-
relativistic quantum current algebra symmetry and to their representations subject to …

A new computational model suitable for exploring the self-consistent production of energetic
electrons during magnetic reconnection in macroscale systems is presented. The equations …

The purpose of the present paper is to provide an overview of Asymptotic-Preserving
methods for multiscale plasma simulations by addressing three singular perturbation …

In hybrid-Vlasov plasma modeling, the ion velocity distribution function is propagated using
the Vlasov equation while electrons are considered a charge-neutralizing fluid. It is an …

The general, non-dissipative, two-fluid model in plasma physics is Hamiltonian, but this
property is sometimes lost or obscured in the process of deriving simplified (or reduced) two …

There are several plasma models intermediate in complexity between ideal
magnetohydrodynamics (MHD) and two-fluid theory, with Hall and Extended MHD being two …

Three-dimensional nonlinear simulations of Alfvén eigenmodes in the subcyclotron
frequency range show a robust physical stabilizing mechanism via modest off-axis beam …

Hybrid kinetic-MHD models describe the interaction of an MHD bulk fluid with an ensemble
of hot particles, which obeys a kinetic equation. In this work we apply Hamilton's variational …