One characteristic trait of space plasmas is the multi-scale dynamics resulting from non-
linear transfers and conversions of various forms of energy. Routinely evidenced in a range …

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

This paper deals with the derivation and analysis of the the Hall Magneto-Hydrodynamic
equations. We first provide a derivation of this system from a two-fluids Euler-Maxwell …

A Hybrid Vlasov–Maxwell (HVM) model is presented and recent results about the link
between kinetic effects and turbulence are reviewed. Using five-dimensional (2D in space …

A new path for the generation of a sub-ion-scale cascade in collisionless space and
astrophysical plasma turbulence, triggered by magnetic reconnection, is uncovered by …

We present a new algorithm for the discretization of the non-relativistic Vlasov–Maxwell
system of equations for the study of plasmas in the kinetic regime. Using the discontinuous …

Using direct numerical simulations of a hybrid Vlasov-Maxwell model, kinetic processes are
investigated in a two-dimensional turbulent plasma. In the turbulent regime, kinetic effects …

We present results from a new hybrid-Vlasov simulation code, Vlasiator, designed for global
magnetospheric simulations. Vlasiator represents ions by a six-dimensional distribution …

The understanding of the fundamental properties of turbulence in collisionless plasmas,
such as the solar wind, is a frontier problem in plasma physics. In particular, the occurrence …

The physical foundations of the dissipation of energy and the associated heating in weakly
collisional plasmas are poorly understood. Here, we compare and contrast several …