| Full text | |
| Author(s): |
Total Authors: 3
|
| Affiliation: | [1] Inst Fis USP, BR-05314970 Sao Paulo - Brazil
[2] Univ Bristol, Sch Math, Bristol BS8 1TW, Avon - England
[3] Univ Estadual Paulista, UNESP, Dept Fis, BR-13506900 Rio Claro, SP - Brazil
Total Affiliations: 3
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| Document type: | Journal article |
| Source: | Applied Mathematics and Computation; v. 236, p. 215-228, JUN 1 2014. |
| Web of Science Citations: | 2 |
| Abstract | |
Some dynamical properties for an ensemble of non-interacting classical particles along chaotic orbits and transport properties over the chaotic sea for the problem of a step and time dependent potential well are considered. The dynamics of each particle is described by a two-dimensional, nonlinear and area preserving mapping for the variables energy and time. The phase space is of mixed-type and contains periodic islands, a set of invariant KAM curves and chaotic seas. The chaotic orbits are characterized by the use of Lyapunov exponents. Transport over the chaotic sea is considered and scaling exponents are obtained. A sticky region around a chain of periodic islands produces local and temporarily trapping of the dynamics and discussions of the rearrangement of the phase space are made. (C) 2014 Elsevier Inc. All rights reserved. (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: | 12/18962-0 - Transport, escape of particles and dynamical properties of some non-linear mappings |
| Grantee: | Diogo Ricardo da Costa |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |