  The stability of current sheets in collisionless relativistic pair plasma was
studied via two-dimensional two-fluid relativistic magnetohydrodynamic
simulations with vanishing internal friction between fluids. In particular, we
investigated the linear growth of the tearing and drift-kink modes in the
current sheets both with and without the guide field and obtained the growth
rates which are very similar to what has been found in the corresponding PIC
simulations. This suggests that the two-fluid simulations can be useful in
studying the large-scale dynamics of astrophysical relativistic plasmas in
problems involving magnetic reconnection.
