  We study the full Navier--Stokes--Fourier system governing the motion of a
general viscous, heat-conducting, and compressible fluid subject to stochastic
perturbation. The system is supplemented with non-homogeneous Neumann boundary
conditions for the temperature and hence energetically open. We show that, in
contrast with the energetically closed system, there exists a stationary
solution. Our approach is based on new global-in-time estimates which rely on
the non-homogeneous boundary conditions combined with estimates for the
pressure.
