A numerical check of the thermal wave-model for particle-beam dynamics

The recently proposed thermal wave model for transverse particle-beam dynamics is tested numerically in the case of propagation through a quadrupole lens with sextupole deviations. This check is performed by comparing the model predictions, obtained analytically using perturbation theory at first order, with the results of a conventional tracking code. The results of this comparison are shown here: a remarkable agreement between the prediction of the wave model and the output of the standard treatment is found, which opens up the possibility of studying transverse beam-dynamics from a novel and, hopefully, very powerful point of view