Energy gain induced by boundary crisis

• Autor(a) principal: Abud, C. Vieira [UNESP]
• Data de Publicação: 2011
• Outros Autores: De Carvalho, R. Egydio [UNESP]
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://dx.doi.org/10.1103/PhysRevE.84.036204; http://hdl.handle.net/11449/219718
• topic: Annular billiard; Boundary crisis; Energy gain; Fixed points; Inelastic collision; Mean energy; Non-linear dynamics; Time-dependent; A-particles

We consider a nonlinear system and show the unexpected and surprising result that, even for high dissipation, the mean energy of a particle can attain higher values than when there is no dissipation in the system. We reconsider the time-dependent annular billiard in the presence of inelastic collisions with the boundaries. For some magnitudes of dissipation, we observe the phenomenon of boundary crisis, which drives the particles to an asymptotic attractive fixed point located at a value of energy that is higher than the mean energy of the nondissipative case and so much higher than the mean energy just before the crisis. We should emphasize that the unexpected results presented here reveal the importance of a nonlinear dynamics analysis to explain the paradoxical strategy of introducing dissipation in the system in order to gain energy. © 2011 American Physical Society.