## Abstract

We investigate the escape of an ensemble of noninteracting particles inside an infinite potential box that contains a time-dependent potential well. The dynamics of each particle is described by a two-dimensional nonlinear area-preserving mapping for the variables energy and time, leading to a mixed phase space. The chaotic sea in the phase space surrounds periodic islands and is limited by a set of invariant spanning curves. When a hole is introduced in the energy axis, the histogram of frequency for the escape of particles, which we observe to be scaling invariant, grows rapidly until it reaches a maximum and then decreases toward zero at sufficiently long times. A plot of the survival probability of a particle in the dynamics as function of time is observed to be exponential for short times, reaching a crossover time and turning to a slower-decay regime, due to sticky regions observed in the phase space.

Original language | English |
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Article number | 066211 |

Pages (from-to) | - |

Number of pages | 6 |

Journal | Physical Review E: Statistical, Nonlinear, and Soft Matter Physics |

Volume | 83 |

Issue number | 6 |

DOIs | |

Publication status | Published - 22 Jun 2011 |