title: Fermi acceleration on the annular billiard.
abstract: We study the phenomenon of unlimited energy growth for a classical particle moving in the annular billiard. The model is considered under two different geometrical situations: static and breathing boundaries. We show that when the dynamics is chaotic for the static case, the introduction of a time-dependent perturbation allows that the particle experiences the phenomenon of Fermi acceleration even when the oscillations are periodic.
authors.affiliation: Departamento de Estatística, Matemática Aplicada e Computação, Instituto de Geociências e Ciências Exatas, Universidade Estadual Paulista, UNESP, Avenida 24A, 1515-Bela Vista, 13506-700, Rio Claro, São Paulo, Brazil.
authors.forename: R Egydio
authors.initials: RE
authors.lastname: de Carvalho
authors.forename: F Caetano
authors.initials: FC
authors.lastname: Souza
authors.forename: Edson D
authors.initials: ED
authors.lastname: Leonel