README.md

SpinGEMPIC.jl

Geometric Particle-in-Cell methods for the Vlasov-Maxwell equations with spin effects.

Spin Vlasov-Maxwell equations

The dimensionless non-relativistic spin Vlasov-Maxwell system is the Vlasov equation:

$$ \frac{\partial f}{\partial t}+{\bf v}\cdot\frac{\partial f}{\partial{\bf x}}+[\left({\bf E}+{\bf v}\times{\bf B}\right) - \nabla({\bf s} \cdot {\bf B})]\cdot\frac{\partial f}{\partial{\bf v}} - ({\bf s}\times {\bf B}) \cdot \frac{\partial f}{\partial {\bf s}} = 0, $$

coupled with Maxwell equations.

Installation

In a Julia session switch to pkg> mode to add SpinGEMPIC:

julia>] # switch to pkg> mode
pkg> add https://github.com/juliavlasov/SpinGEMPIC.jl

julia> using SpinGEMPIC