Escape of particles in a time-dependent potential well

Diogo Ricardo da Costa, Carl P. Dettmann, Edson D. Leonel

Research output: Contribution to journalArticle (Academic Journal)peer-review

17 Citations (Scopus)


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 languageEnglish
Article number066211
Pages (from-to)-
Number of pages6
JournalPhysical Review E: Statistical, Nonlinear, and Soft Matter Physics
Issue number6
Publication statusPublished - 22 Jun 2011

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