| Full text | |
| Author(s): |
Livorati, Andre L. P.
[1, 2, 3]
;
Dettmann, Carl P.
[2]
;
Caldas, Ibere L.
[3]
;
Leonel, Edson D.
[1, 4]
Total Authors: 4
|
| Affiliation: | [1] Univ Estadual Paulista, UNESP, Dept Fis, BR-13506900 Rio Claro, SP - Brazil
[2] Univ Bristol, Sch Math, Bristol BS8 1TW, Avon - England
[3] Univ Sao Paulo, Inst Fis, IFUSP, BR-05314970 Sao Paulo, SP - Brazil
[4] Abdus Salam Int Ctr Theoret Phys, I-34151 Trieste - Italy
Total Affiliations: 4
|
| Document type: | Journal article |
| Source: | Chaos; v. 25, n. 10 OCT 2015. |
| Web of Science Citations: | 7 |
| Abstract | |
The transport and diffusion properties for the velocity of a Fermi-Ulam model were characterized using the decay rate of the survival probability. The system consists of an ensemble of non-interacting particles confined to move along and experience elastic collisions with two infinitely heavy walls. One is fixed, working as a returning mechanism of the colliding particles, while the other one moves periodically in time. The diffusion equation is solved, and the diffusion coefficient is numerically estimated by means of the averaged square velocity. Our results show remarkably good agreement of the theory and simulation for the chaotic sea below the first elliptic island in the phase space. From the decay rates of the survival probability, we obtained transport properties that can be extended to other nonlinear mappings, as well to billiard problems. (C) 2015 AIP Publishing LLC. (AU) | |
| 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 |
| FAPESP's process: | 11/19296-1 - Nonlinear dynamics |
| Grantee: | Iberê Luiz Caldas |
| Support Opportunities: | Research Projects - Thematic Grants |