| Full text | |
| Author(s): |
Livorati, Andre L. P.
[1, 2]
;
Palmero, Matheus S.
[2]
;
Diaz-, I, Gabriel
;
Dettmann, Carl P.
[1]
;
Caldas, Ibere L.
[3]
;
Leonel, Edson D.
[4]
Total Authors: 6
|
| Affiliation: | [1] Univ Bristol, Sch Math, Bristol BS8 1TW, Avon - England
[2] Univ Estadual Paulista, Dept Fis, UNESP, Av 24A, 1515 Bela Vista, BR-13506900 Rio Claro, SP - Brazil
[3] Univ Sao Paulo, IFUSP, Inst Fis, Rua Matao, TrR 187, Cidade Univ, BR-05314970 Sao Paulo, SP - Brazil
[4] Diaz-, Gabriel, I, Univ Estadual Paulista, Dept Fis, UNESP, Av 24A, 1515 Bela Vista, BR-13506900 Rio Claro, SP - Brazil
Total Affiliations: 4
|
| Document type: | Journal article |
| Source: | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION; v. 55, p. 225-236, FEB 2017. |
| Web of Science Citations: | 2 |
| Abstract | |
We study the dynamics of an ensemble of non interacting particles constrained by two infinitely heavy walls, where one of them is moving periodically in time, while the other is fixed. The system presents mixed dynamics, where the accessible region for the particle to diffuse chaotically is bordered by an invariant spanning curve. Statistical analysis for the root mean square velocity, considering high and low velocity ensembles, leads the dynamics to the same steady state plateau for long times. A transport investigation of the dynamics via escape basins reveals that depending of the initial velocity ensemble, the decay rates of the survival probability present different shapes and bumps, in a mix of exponential, power law and stretched exponential decays. After an analysis of step-size averages, we found that the stable manifolds play the role of a preferential path for faster escape, being responsible for the bumps and different shapes of the survival probability. (C)2017 Elsevier B.V. Allrightsreserved. (AU) | |
| 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: | 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: | 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 |
| FAPESP's process: | 14/27260-5 - Scaling laws associated to a symmetry-break in the energy distribution in a set of dynamical systems: application to discrete mappings |
| Grantee: | Matheus Palmero Silva |
| Support Opportunities: | Scholarships in Brazil - Master |