  The Vlasov-Poisson-Boltzmann system is often used to govern the motion of
plasmas consisting of electrons and ions with disparate masses when collisions
of charged particles are described by the two-component Boltzmann collision
operator. The perturbation theory of the system around global Maxwellians
recently has been well established in [42]. It should be more interesting to
further study the existence and stability of nontrivial large time asymptotic
profiles for the system even with slab symmetry in space, particularly
understanding the effect of the self-consistent potential on the non-trivial
long-term dynamics of the binary system. In the paper, we consider the problem
in the setting of rarefaction waves. The analytical tool is based on the
macro-micro decomposition introduced in [59] that we can be able to develop
into the case for the two-component Boltzmann equations around local
bi-Maxwellians. Our focus is to explore how the disparate masses and charges of
particles play a role in the analysis of the approach of the complex coupling
system time-asymptotically toward a non-constant equilibrium state whose
macroscopic quantities satisfy the quasineutral nonisentropic Euler system.
