Escape from intermittent repellers- Periodic orbit theory for crossover from exponential to algebraic decay

Details Escape from intermittent repellers- Periodic orbit theory for crossover from exponential to algebraic decay Escape from intermittent repellers- Periodic orbit theory for crossover from exponential to algebraic decay

1999-03-18

arxiv.org/abs/chao-dyn/9903025v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

12 pages, 5 postscript figures. Major revisions

Scientific paper

10.1103/PhysRevE.60.6639

We apply periodic orbit theory to study the asymptotic distribution of escape times from an intermittent map. The dynamical zeta function exhibits a branch point which is associated with an asymptotic power law escape. By an analytic continuation technique we compute a zero of the zeta function beyond its radius of convergence leading to a pre-asymptotic exponential decay. The time of crossover from an exponential to a power law is also predicted. The theoretical predictions are confirmed by numerical simulation. Applications to conductance fluctuations in quantum dots are discussed.

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