STATISTICAL REDISTRIBUTION OF TRAJECTORIES FROM A TORUS TO TORI BY CHAOTIC DYNAMICAL TUNNELING

The effect of chaos in dynamical tunneling that induces a transition a mong tori in a near integrable system is investigated. Even though a s ystem energy is moderately low enough for a quasiseparatrix to be suff iciently thin, in other words, even if most of the phase space is fill ed with invariant tori, tunneling paths that connect the tori can be s trongly chaotic. A direct consequence of the chaos is manifested as a mixing property of the tunneling paths, which in turn brings about a s tatistical redistribution of classical trajectories after the tunnelin g, that is, the probability for a trajectory to be found on a given to rus after the tunneling is nearly proportional to the corresponding ar ea on the Poincare surface of section. This is highly analogous to the principle of equipartition in statistical mechanics.