Giant acceleration in slow-fast space-periodic Hamiltonian systems.
The motion of an ensemble of particles in a space-periodic potential well with a weak wavelike perturbation imposed is considered. We found that slow oscillations of the wave number of the perturbation lead to the occurrence of directed particle current. This current is amplified with time due to the giant acceleration of some particles. It is shown that giant acceleration is linked to the existence of resonant channels in phase space.
Laboratory of Nonlinear Dynamical Systems, V.I. Ilichev Pacific Oceanological Institute of the Russian Academy of Sciences, 690041 Vladivostok, Russia.
D V
DV
Makarov
M Yu
MY
Uleysky