The presence and lack of Fermi acceleration in nonintegrable billiards
| Autor: | S. Oliffson Kamphorst, J. K. L. da Silva, Edson D. Leonel |
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| Rok vydání: | 2007 |
| Předmět: |
Condensed Matter::Quantum Gases
Statistics and Probability Physics General Physics and Astronomy Quantum oscillations Statistical and Nonlinear Physics Fermi acceleration Fermi energy Fermi surface symbols.namesake Classical mechanics Modeling and Simulation Quantum mechanics symbols Fermi's golden rule Fermi liquid theory Dynamical billiards Fermi gas Mathematical Physics |
| Zdroj: | Journal of Physics A: Mathematical and Theoretical. 40:F887-F893 |
| ISSN: | 1751-8121 1751-8113 |
| Popis: | The unlimited energy growth (Fermi acceleration) of a classical particle moving in a billiard with a parameter-dependent boundary oscillating in time is numerically studied. The shape of the boundary is controlled by a parameter and the billiard can change from a focusing one to a billiard with dispersing pieces of the boundary. The complete and simplified versions of the model are considered in the investigation of the conjecture that Fermi acceleration will appear in the time-dependent case when the dynamics is chaotic for the static boundary. Although this conjecture holds for the simplified version, we have not found evidence of Fermi acceleration for the complete model with a breathing boundary. When the breathing symmetry is broken, Fermi acceleration appears in the complete model. |
| Databáze: | OpenAIRE |
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