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Article overview
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Random fluctuation leads to forbidden escape of particles | Christian S. Rodrigues
; Alessandro P. S. de Moura
; Celso Grebogi
; | Date: |
22 Oct 2009 | Abstract: | A great number of physical processes are described within the context of
Hamiltonian scattering. Previous studies have rather focused on trajectories
starting outside invariant structures, since the ones starting inside are
expected to stay trapped there forever. This is true though only for the
deterministic case. We show however that, under finitely small random
fluctuations of the field, trajectories starting inside KAM islands escape
within finite time. The non-hyperbolic dynamics gains then hyperbolic
characteristics due to the effect of the random perturbed field. As a
consequence, trajectories which are started inside KAM curves escape with
hyperbolic-like time decay distribution. We show a universal quadratic power
law relating the exponential decay to the amplitude of noise. We present a
random walk model to relate this distribution to the amplitude of noise, and
investigate this phenomena with a numerical study. | Source: | arXiv, 0910.4370 | Services: | Forum | Review | PDF | Favorites |
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