  In this paper we develop a 3D Lattice-Boltzmann model that recovers in the
continuous limit the two-fluids theory for plasmas, and consecuently includes
the generalizated Ohm's law. The model reproduces the magnetic reconnection
process just by given the right initial equlibrium conditions in the
magnetotail, without any assumption on the resistivity in the diffusive region.
In this model, the plasma is handled like two fluids with an interaction term,
each one with distribution functions associated to a cubic lattice with 19
velocities (D3Q19). The electromagnetic fields are considered like a third
fluid with an external force on a cubic lattice with 13 velocities (D3Q13). The
model can simulate either viscous fluids in the incompressible limit or
non-viscous compressible fluids, and sucessfully reproduces both the Hartmann
flow and the magnetic reconnection in the magnetotail. The reconnection rate
obtained with this model is R=0.109, which is in excellent agreement with the
observations.

Computational Physics;Plasma Physics