S Oliffson Kamphorst et al 2007 J. Phys. A: Math. Theor. 40 F887 doi:10.1088/1751-8113/40/37/F02
The presence and lack of Fermi acceleration in nonintegrable billiards
FREE ARTICLES Oliffson Kamphorst1, E D Leonel2 and J K L da Silva3
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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.
- PACS
- MSC
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70Fxx Dynamics of a system of particles, including celestial mechanics
37D45 Strange attractors, chaotic dynamics
37D50 Hyperbolic systems with singularities (billiards, etc.)
70K55 Transition to stochasticity (chaotic behavior) (See also 37D45)
- Subjects
- Dates
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Issue 37 (14 September 2007)
Received 21 June 2007, in final form 13 August 2007
Published 29 August 2007
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The presence and lack of Fermi acceleration in nonintegrable billiards
S Oliffson Kamphorst et al 2007 J. Phys. A: Math. Theor. 40 F887
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