Two-dimensional MHD simulations of relativistic magnetic reconnection

It has been recognized that magnetic reconnection process is of great importance in high-energy astrophysics. We develop a new two-dimensional relativistic resistive magnetohydrodynamic (R$^2$MHD) code, and carry out numerical simulations of magnetic reconnection. We find that outflow velocity reaches Alfv\'{e}n velocity in the inflow region, and that higher Alfv\'{e}n velocity provides higher reconnection rate. We also find Lorentz contraction plays an important role in enhancement of reconnection rate.