  In the last few years it was proved that scalar passive quantities subject to
suitable stochastic transport noise, and more recently that also vector passive
quantities subject to suitable stochastic transport and stretching noise,
weakly converge to the solutions of deterministic equations with a diffusion
term. In the background of these stochastic models, we introduce stochastic
Vlasov equations which gives additional information on the fluctuations and
oscillations of solutions: we prove convergence to non-trivial Young measures
satisfying limit PDEs with suitable diffusion terms. In the case of a passive
vector field the background Vlasov equation adds completely new statistical
information to the stochastic advection equation.
