Understanding the dynamics of charged particles in a plasma is of great importance for a large variety of physical phenomena, such as the confinement of strongly magnetized plasmas or laser-plasma interaction problems.An accurate model for the motion of charged particles, is given by the Vlasov-Poisson system.It is based on a phase space description so that non-equilibrium dynamics can be accurately investigated.The unknown $f({f x},{f v},t)$ depends on the space ${fx}$, the velocity ${f v}$, and the time $t$.The electromagnetic fields are usually computed self-consistently through the Poisson equations, which leads to the nonlinear Vlasov-Poisson system.