GIANT ACCELERATION IN WEAKLY-PERTURBED SPACE-PERIODIC HAMILTONIAN SYSTEMS

摘要

Motion of a space-periodic Hamiltonian system with weak wavelike perturbation imposed is studied. We show that slow variation of the perturbation wavenumber may lead in giant explosion-like acceleration of some particles. This effect arises due to forming specific resonant channels in phase space. Giant acceleration can coexist with the ratchet phenomenon, i. e. the resulting particle current can have preferable direction.