| Full text | |
| Author(s): |
Total Authors: 4
|
| Affiliation: | [1] Univ Sao Paulo, Inst Fis, BR-05314970 Sao Paulo, SP - Brazil
[2] Univ Fed Parana, Inst Fis, BR-81531990 Curitiba, PR - Brazil
[3] UNESP, Dept Fis, BR-13506900 Rio Claro, SP - Brazil
Total Affiliations: 3
|
| Document type: | Journal article |
| Source: | EPL; v. 121, n. 6 MAR 2018. |
| Web of Science Citations: | 0 |
| Abstract | |
The changeover from normal to super diffusion in time-dependent billiards is explained analytically. The unlimited energy growth for an ensemble of bouncing particles in time-dependent billiards is obtained by means of a two-dimensional mapping of the first and second moments of the speed distribution function. We prove that, for low initial speeds the average speed of the ensemble grows with exponent similar to 1/2 of the number of collisions with the boundary, therefore exhibiting, normal diffusion. Eventually, this regime changes to a faster growth characterized by an exponent similar to 1 corresponding to super diffusion. For larger initial energies, the temporary symmetry in the diffusion of speeds explains an initial plateau of the average speed. Copyright (C) EPLA, 2018 (AU) | |
| FAPESP's process: | 17/14414-2 - Scaling investigation in dynamical systems |
| Grantee: | Edson Denis Leonel |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 11/19296-1 - Nonlinear dynamics |
| Grantee: | Iberê Luiz Caldas |
| Support Opportunities: | Research Projects - Thematic Grants |