Simulation study of fast ion instability in the ILC damping ring and   PETRA III
  The fast ion instability is simulated in different gas pressures and fill patterns for the damping ring of the International Linear Collider (ILC) and PETRA III respectively. Beam size variation due to beta function and dispersion function change is taken into account. Feedback is also applied in the simulation. 
G. Xia, K. Ohmi, E.Elsen