Three-dimensional particle-in-cell simulations of the Weibel instability in electron-positron plasmas

Three-dimensional (3-D) particle-in-cell simulations for the collision of an electron cloud with a positron cloud are presented, for conditions where the Weibel instability can develop. The 3-D features of the Weibel instability are identified in the magnetic field structure generated in the instability, and in the shape of the current filaments.