| Full text | |
| Author(s): |
Total Authors: 2
|
| Affiliation: | [1] Abdus Salam Int Ctr Theoret Phys, Str Costiera 11, I-34151 Trieste - Italy
[2] Univ Estadual Paulista, UNESP, Dept Fis, Av 24A, BR-1515 Rio Claro, SP - Brazil
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | Journal of Statistical Physics; v. 170, n. 1, p. 69-78, JAN 2018. |
| Web of Science Citations: | 0 |
| Abstract | |
The chaotic diffusion for a family of Hamiltonian mappings whose angles diverge in the limit of vanishingly action is investigated by using the solution of the diffusion equation. The system is described by a two-dimensional mapping for the variables action, I, and angle,. and controlled by two control parameters: (i) epsilon, controlling the nonlinearity of the system, particularly a transition from integrable for epsilon = 0 to non-integrable for epsilon not equal 0 and; (ii) gamma denoting the power of the action in the equation defining the angle. For epsilon not equal 0 the phase space is mixed and chaos is present in the system leading to a finite diffusion in the action characterized by the solution of the diffusion equation. The analytical solution is then compared to the numerical simulations showing a remarkable agreement between the two procedures. (AU) | |
| FAPESP's process: | 17/14414-2 - Scaling investigation in dynamical systems |
| Grantee: | Edson Denis Leonel |
| Support Opportunities: | Regular Research 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 |