In the first part, the theoretical model of the stochastic heating
effect is presented briefly. Then, a numerical resolution of the Hamilton
equations highlights the threshold of the stochastic effect. Finally,
Particle-In-Cell (PIC) code simulations results, for experimentally
relevant parameters, are presented in order to confirm the acceleration
mechanism predicted by the one-particle theoretical model. This paper
gives the conditions on the different experimental parameters in order to
have an optimization of the stochastic heating.