  In this paper, we are concerned with the Vlasov-Poisson-Boltzmann (VPB)
system in three-dimensional spatial space without angular cutoff in a
rectangular duct with or without physical boundary conditions. Near a local
Maxwellian with macroscopic quantities given by rarefaction wave solution of
one-dimensional compressible Euler equations, we establish the time-asymptotic
stability of planar rarefaction wave solutions for the Cauchy problem to VPB
system with periodic or specular-reflection boundary condition. In particular,
we successfully introduce physical boundaries, namely, specular-reflection
boundary, to the models describing wave patterns of kinetic equations.
Moreover, we treat the non-cutoff collision kernel instead of the cutoff one.
As a simplified model, we also consider the stability and large time behavior
of the rarefaction wave solution for the Boltzmann equation.
