| Full text | |
| Author(s): |
Kroetz, Tiago
;
Livorati, Andre L. P.
;
Leonel, Edson D.
;
Caldas, Ibere L.
Total Authors: 4
|
| Document type: | Journal article |
| Source: | Physical Review E; v. 92, n. 1, p. 11-pg., 2015-07-06. |
| Abstract | |
The ballistic increase for the velocity of a particle in a bouncing-ball model was investigated. The phenomenon is caused by accelerating structures in phase space known as accelerator modes. They lead to a regular and monotonic increase of the velocity. Here, both regular and ballistic Fermi acceleration coexist in the dynamics, leading the dynamics to two different growth regimes. We characterized deaccelerator modes in the dynamics, corresponding to unstable points in the antisymmetric position of the accelerator modes. In control parameter space, parameter sets for which these accelerations and deaccelerations constitute structures were obtained analytically. Since the mapping is not symplectic, we found fractal basins of influence for acceleration and deacceleration bounded by the stable and unstable manifolds, where the basins affect globally the average velocity of the system. (AU) | |
| FAPESP's process: | 11/19296-1 - Nonlinear dynamics |
| Grantee: | Iberê Luiz Caldas |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 12/23688-5 - Exponents and scaling laws, phase transitions and transport properties of time dependent 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 |