• T. Sen, C.M. Bhat, H.J. Kim, J.-F. Ostiguy
  Fermilab, Batavia

We investigate the dynamics of longitudinally flat bunches created with a second harmonic cavity in a high energy collider. We study Landau damping in a second harmonic cavity with analytical and numerical methods. The latter include particle tracking and evolution of the phase space density. The results are interpreted in the context of possible application to the LHC.