Top panel: normalized distributions of the vertical position z for the integration of the tracer case, using the strong coupling approximation (SCA) with t_stop = 0. The vertical height z is recorded after every 1 Ω⁻¹ for t = 10⁵ Ω⁻¹. Bars give the simulated distribution while the analytic – normal – distribution is shown by the black dashed line. Bottom panel: temporal evolution of the vertical position for α_z = 10⁻² (black) and α_z = 10⁻² (blue).