  In this paper we consider the mean field limit and non-relativistic limit of
relativistic Vlasov-Maxwell particle system to Vlasov-Poisson equation. With
the relativistic Vlasov-Maxwell particle system being a starting point, we
carry out the estimates (with respect to $N$ and $c$) between the
characteristic equation of both Vlasov-Maxwell particle model and
Vlasov-Poisson equation, where the probabilistic method is exploited. In the
last step, we take both large $N$ limit and non-relativistic limit (meaning $c$
tending to infinity) to close the argument.
