Universality in the flooding of regular islands by chaotic states

Details Universality in the flooding of regular islands by chaotic states Universality in the flooding of regular islands by chaotic states

2007-01-16

arxiv.org/abs/nlin/0701032v2

Phys. Rev. E 75, 066204 (2007)

Nonlinear Sciences

Chaotic Dynamics

11 pages, 12 figures

Scientific paper

10.1103/PhysRevE.75.066204

We investigate the structure of eigenstates in systems with a mixed phase space in terms of their projection onto individual regular tori. Depending on dynamical tunneling rates and the Heisenberg time, regular states disappear and chaotic states flood the regular tori. For a quantitative understanding we introduce a random matrix model. The resulting statistical properties of eigenstates as a function of an effective coupling strength are in very good agreement with numerical results for a kicked system. We discuss the implications of these results for the applicability of the semiclassical eigenfunction hypothesis.

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