Аннотация:A random Lorentz gas with time-dependent boundaries is a two-dimensional system containing a set of heavy discs (scatterers) distributed randomly. Particles move freely among these discs. The boundaries of the scatterers oscillate. The unlimited linear growth of particle velocity in these systems is called the Fermi acceleration phenomenon2. Even for periodical and correlated motion of boundaries the influence of this motion on particle can be considered as noise, because the moments of particle collisions with the scatterers are random. Langeving equation can be used to calculate particle dynamics.