Investigation of stickiness influence in the anomalous transport and diffusion for a non-dissipative Fermi–Ulam model

André L.P. Livorati*, Matheus S. Palmero, Gabriel Díaz-I, Carl P. Dettmann, Iberê L. Caldas, Edson D. Leonel

*Corresponding author for this work

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

3 Citations (Scopus)
221 Downloads (Pure)

Abstract

We study the dynamics of an ensemble of non interacting particles constrained by two infinitely heavy walls, where one of them is moving periodically in time, while the other is fixed. The system presents mixed dynamics, where the accessible region for the particle to diffuse chaotically is bordered by an invariant spanning curve. Statistical analysis for the root mean square velocity, considering high and low velocity ensembles, leads the dynamics to the same steady state plateau for long times. A transport investigation of the dynamics via escape basins reveals that depending of the initial velocity ensemble, the decay rates of the survival probability present different shapes and bumps, in a mix of exponential, power law and stretched exponential decays. After an analysis of step-size averages, we found that the stable manifolds play the role of a preferential path for faster escape, being responsible for the bumps and different shapes of the survival probability.

Original languageEnglish
Pages (from-to)225-236
Number of pages12
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume55
Early online date18 Jul 2017
DOIs
Publication statusPublished - 1 Feb 2018

Keywords

  • Stickiness influence
  • Anomalous transport and diffusion
  • Chaos

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