| Full text | |
| Author(s): |
Livorati, Andre L. P.
;
Kroetz, Tiago
;
Dettmann, Carl P.
;
Caldas, Ibere L.
;
Leonel, Edson D.
Total Authors: 5
|
| Document type: | Journal article |
| Source: | PHYSICAL REVIEW E; v. 97, n. 3, p. 9-pg., 2018-03-09. |
| Abstract | |
We characterize a transition from normal to ballistic diffusion in a bouncing ball dynamics. The system is composed of a particle, or an ensemble of noninteracting particles, experiencing elastic collisions with a heavy and periodically moving wall under the influence of a constant gravitational field. The dynamics lead to a mixed phase space where chaotic orbits have a free path to move along the velocity axis, presenting a normal diffusion behavior. Depending on the control parameter, one can observe the presence of featured resonances, known as accelerator modes, that lead to a ballistic growth of velocity. Through statistical and numerical analysis of the velocity of the particle, we are able to characterize a transition between the two regimes, where transport properties were used to characterize the scenario of the ballistic regime. Also, in an analysis of the probability of an orbit to reach an accelerator mode as a function of the velocity, we observe a competition between the normal and ballistic transport in the midrange velocity. (AU) | |
| FAPESP's process: | 17/14414-2 - Scaling investigation in dynamical systems |
| Grantee: | Edson Denis Leonel |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 14/25316-3 - Investigation of transport and diffusion properties of particles using escape formalism for time-dependent systems |
| Grantee: | André Luís Prando Livorati |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 15/26699-6 - Investigation of anomalous transport and diffusion for time-dependent dynamical systems |
| Grantee: | André Luís Prando Livorati |
| Support Opportunities: | Scholarships abroad - Research Internship - Post-doctor |