title: Breathing mode for systems of interacting particles.
abstract: We study the breathing mode in systems of trapped interacting particles. Our approach, based on a dynamical ansatz in the first equation of the Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy allows us to tackle at once a wide range of power-law interactions and interaction strengths, at linear and nonlinear levels. This both puts in a common framework various results scattered in the literature, and by widely generalizing these, emphasizes universal characters of this breathing mode. Our findings are supported by direct numerical simulations.
authors.affiliation: Laboratoire J. A. Dieudonné, UMR CNRS 6621, Université de Nice-Sophia Antipolis, Parc Valrose, F-06108 Nice Cedex 02, France. olivetti@unice.fr
authors.forename: Alain
authors.initials: A
authors.lastname: Olivetti
authors.forename: Julien
authors.initials: J
authors.lastname: Barré
authors.forename: Bruno
authors.initials: B
authors.lastname: Marcos
authors.forename: Freddy
authors.initials: F
authors.lastname: Bouchet
authors.forename: Robin
authors.initials: R
authors.lastname: Kaiser