Nonstatistical unimolecular decay in quasiperiodic systems

We examine the nonstatistical character of the unimolecular decay associated with regular dynamical systems. In doing so, a longstanding problem due to Slater is solved in a proof that the lifetime for decay from a metastable torus is bounded from above. The random gap assumption is thus invalidated for isolated torus decay. In addition, the microcanonical unimolecular decay of the regular open circle billiard system is treated in detail. Nonstatisticality is observed in both product and lifetime distributions. In particular, the lifetime distribution exhibits an O(t−2) long time tail which is linked, analytically, to the existence of resonant tori in the circle billiard phase space.

Nonstatistical unimolecular decay in quasiperiodic systems Journal Articles