We present initial results of the first self-consistent numerical model of
the outer magnetosphere of a pulsar. By using the relativistic
particle-in-cell'' method with special boundary conditions to represent plasma dynamics in 3D, we are able to follow magnetospheric plasma through the light cylinder into the wind zone for arbitrary magnetic inclination angles. For aligned rotators we confirm the disk-dome’’ charge-separated structure of
the magnetosphere and find that this configuration is unstable to a 3D
nonaxisymmetric diocotron instability. This instability allows plasma to move
across the field lines and approach the corotating Goldreich-Julian solution
within several rotation periods. For oblique rotators formation of the spiral
``striped wind’’ in the equatorial direction is demonstrated and the
acceleration of the wind and its magnetization is discussed. We find that the
wind properties vary with stellar latitude; however, whether injection
conditions at the pulsar are responsible for the observed jet-equator geometry
of Crab and Vela is currently under investigation. We also comment on the
electrodynamics of the simulated magnetospheres, their current closure, and
future simulations.

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