Please use this identifier to cite or link to this item:
- Separation of particles leading either to decay or unlimited growth of energy in a driven stadium-like billiard
- Universidade de São Paulo (USP)
- Univ Bristol
- Universidade Estadual Paulista (UNESP)
- Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
- Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
- Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
- Center for Scientific Computing (NCC/GridUNESP) of the Sao Paulo State University (UNESP)
- CAPES: 0287-13-0
- FAPESP: 12/00556-6
- FAPESP: 11/19296-1
- FAPESP: 12/23688-5
- Competition between the decay and growth of energy in a time-dependent stadium billiard is discussed with emphasis on the decay of the energy mechanism. A critical resonance velocity is identified as causing the separation between ensembles of high and low energy and a statistical investigation is performed using ensembles of initial conditions both above and below the resonance velocity. For high initial velocity, Fermi acceleration is inherent in the system. However, for low initial velocity, the resonance and stickiness hold the particles in a regular or quasi-regular regime near the fixed points, preventing them from exhibiting Fermi acceleration. Also, a transport analysis along the velocity axis is discussed to quantify the competition in the growth and decay of the energy, making use of the distributions of histograms of frequency, and we find that the energy decay is caused by the capture of the orbits by the resonant fixed points.
- Journal Of Physics A-mathematical And Theoretical. Bristol: Iop Publishing Ltd, v. 47, n. 36, 17 p., 2014.
- Iop Publishing Ltd
- stadium billiard
- Fermi accleration
- Acesso restrito
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.