  We construct a unique global-in-time solution to the two species
Vlasov-Poisson-Boltzmann system in convex domains with the diffuse boundary
condition, which can be viewed as one of the ideal scattering boundary model.
The construction follows a new $L^{2}$-$L^{\infty}$ framework in [4]. In our
knowledge this result is the first construction of strong solutions for
$\textit{two species}$ plasma models with $\textit{self-consistent field}$ in
general bounded domains.
