The Lorentz gas, a point particle making mirror-like reflections from an extended collection of
scatterers, has been a useful model of deterministic diffusion and related statistical …

The Fermi acceleration is always inherent in completely chaotic time-dependent billiards. At
the same time, the particle dynamics in nearly integrable billiard systems can be more …

We study some statistical properties for the behavior of the average squared velocity—
hence the temperature—for an ensemble of classical particles moving in a billiard whose …

Processes that are far both from equilibrium and from phase transition are studied. It is
shown that a process with mean velocity that exhibits power-law growth in time can be …

We analyze the time behavior of generalized squared Bessel processes, which are useful
for modeling the relevant scales of stochastic acceleration problems. These nonstationary …

We consider a family of stadium-like billiards with time-dependent boundaries. Two different
cases of time dependence are studied:(i) the fixed boundary approximation and (ii) the exact …

Chaotic system under influence of harmonic force is considered. Namely, the motion of
Fermi-accelerated billiard particles interacting with scatterers with harmonically oscillating …

It is shown that Fermi acceleration, which is inherent to time-dependent open-horizon two-
dimensional billiards, leads to anomalous transport properties. The stochastic oscillations of …

Diffusion of gold nanoclusters on a graphite substrate is discussed. We propose a solution to
the contradiction between the extremely high value of the diffusion coefficient and its …

Рассматриваются классические системы статистической механики---бильярды
различной геометрии, границы которых возмущаются со временем. Изучена динамика …