Decay of energy and suppression of Fermi acceleration in a dissipative driven stadium-like billiard


Autoria(s): Livorati, Andre L. P.; Caldas, Ibere L.; Leonel, Edson Denis
Contribuinte(s)

Universidade Estadual Paulista (UNESP)

Data(s)

30/09/2013

20/05/2014

30/09/2013

20/05/2014

01/06/2012

Resumo

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

The behavior of the average energy for an ensemble of non-interacting particles is studied using scaling arguments in a dissipative time-dependent stadium-like billiard. The dynamics of the system is described by a four dimensional nonlinear mapping. The dissipation is introduced via inelastic collisions between the particles and the moving boundary. For different combinations of initial velocities and damping coefficients, the long time dynamics of the particles leads them to reach different states of final energy and to visit different attractors, which change as the dissipation is varied. The decay of the average energy of the particles, which is observed for a large range of restitution coefficients and different initial velocities, is described using scaling arguments. Since this system exhibits unlimited energy growth in the absence of dissipation, our results for the dissipative case give support to the principle that Fermi acceleration seems not to be a robust phenomenon. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.3699465]

Formato

8

Identificador

http://dx.doi.org/10.1063/1.3699465

Chaos. Melville: Amer Inst Physics, v. 22, n. 2, p. 8, 2012.

1054-1500

http://hdl.handle.net/11449/24961

10.1063/1.3699465

WOS:000305833900074

WOS000305833900074.pdf

Idioma(s)

eng

Publicador

American Institute of Physics (AIP)

Relação

Chaos

Direitos

closedAccess

Tipo

info:eu-repo/semantics/article