Relativistic collision model with application to plasma wakefield accelerators A relativistic collision model for particle simulation is developed for many applications such as wake field accelerators and high power microwave tubes. For the verification of this collision model, we simulate an electron beam-driven plasma wakefield accelerator, and compare the simulation results to experiments in [1]. [1] M. Hogan and et al, "Multi-Gev energy gain in a plasma-wakefield accelerator," Physical Review Letters, vol 95, 054802, 2005