  We present a relativistic model describing a thin disk system composed of two
fluids. The system is surrounded by a halo in the presence of a non-trivial
electromagnetic field. We show that the model is compatible with the
variational multi-fluid thermodynamics formalism, allowing us to determine all
the thermodynamic variables associated with the matter content of the disk. The
asymptotic behaviour of these quantities indicates that the single fluid
interpretation should be abandoned in favour of a two-fluid model.
