The role of the Weibel instability is investigated for the first time in the
context of the large-scale magnetic reconnection problem. A late-time evolution
of magnetic reconnection in relativistic pair plasmas is demonstrated by
particle-in-cell (PIC) simulations. In the outflow regions, powerful
reconnection jet piles up the magnetic fields and then a tangential
discontinuity appears there. Further downstream, it is found that the
two-dimensional extension of the relativistic Weibel instability generates
electro-magnetic fields, which are comparable to the anti-parallel or piled-up
fields. In a microscopic viewpoint, the instability allows plasma's multiple
interactions with the discontinuity. In a macroscopic viewpoint, the
instability leads to rapid expansion of the current sheet and then the
reconnection jet front further propagates into the downstream. Possible
application to the three-dimensional case is briefly discussed.Comment: 25 pages, 9 figures; References and typos are fixe