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28 March 2024
 
  » arxiv » 0910.4370

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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
AbstractA 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
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