  We study the Hall effect in diluted plasmas within the two-fluids theory.
Composed by two distinct species with opposite charge, such as electrons and
ions in fully ionised hydrogen, the plasma is driven by an electric field
through a channel in the presence of a transversal magnetic field. As a
consequence, a separation of charge is induced producing an electric potential
difference. We have found a general relation for the Hall voltage as function
of the mass and viscosity ratios, which converges to the usual expression in
the limit of solid matter, i.e. when ions are much more massive than electrons.
All the simulations have been performed using a three-dimensional
Lattice-Boltzmann model, which has been also validated for some relevant
applications. Finally, we discuss the importance of our findings in the light
of recent developments in plasma physics, in particular in magnetic
reconnection.
