Speaker
Description
The Landau damping suppresses the development of coherent particle motion preventing instabilities. In particle accelerators the coupled motion of the circulating particles with the induced wake fields in the accelerator environment is Landau damped by a diversification of particle oscillation frequencies (tune spread). In colliders the tune spread can be generated by non-linear forces such as the beam-beam interactions. At the Large Hadron Collider (LHC) the instability thresholds are evaluated computing the dispersion integral in the limit of excited resonances and diffusive mechanisms that may modify the particle distribution in the beams. Stability studies for different sources of tune spread are presented and compared to experimental observations at the LHC.