title: Suppressing Fermi acceleration in a driven elliptical billiard.
abstract: We study dynamical properties of an ensemble of noninteracting particles in a time-dependent elliptical-like billiard. It was recently shown [Phys. Rev. Lett. 100, 014103 (2008)] that for the nondissipative dynamics, the particle experiences unlimited energy growth. Here we show that inelastic collisions suppress Fermi acceleration in a driven elliptical-like billiard. This suppression is yet another indication that Fermi acceleration is not a structurally stable phenomenon.
authors.affiliation: Departamento de Estatística, Matemática Aplicada e Computação, IGCE, Univ Estadual Paulista Avenida 24A, 1515, Bela Vista, CEP: 13506-700, Rio Claro, São Paulo, Brazil.
authors.forename: Edson D
authors.initials: ED
authors.lastname: Leonel
authors.forename: Leonid A
authors.initials: LA
authors.lastname: Bunimovich