title: Statistics of injected power on a bouncing ball subjected to a randomly vibrating piston.
abstract: We present an experimental study on the statistical properties of the injected power needed to maintain an inelastic ball bouncing constantly on a randomly accelerating piston in the presence of gravity. We compute the injected power at each collision of the ball with the moving piston by measuring the velocity of the piston and the force exerted on the piston by the ball. The probability density function of the injected power has its most probable value close to zero and displays two asymmetric exponential tails, depending on the restitution coefficient, the piston acceleration, and its frequency content. This distribution can be deduced from a simple model assuming quasi-Gaussian statistics for the force and velocity of the piston.
authors.affiliation: Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla 487-3, Santiago, Chile.
authors.forename: Alfredo
authors.initials: A
authors.lastname: García-Cid
authors.affiliation: Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla 487-3, Santiago, Chile.
authors.forename: Pablo
authors.initials: P
authors.lastname: Gutiérrez
authors.affiliation: Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla 487-3, Santiago, Chile.
authors.forename: Claudio
authors.initials: C
authors.lastname: Falcón
authors.affiliation: Service de Physique de l'Etat Condensé, DSM, CEA-Saclay, UMR 3680 CNRS, 91191 Gif-sur-Yvette, France and Laboratoire de Physique, UMR-CNRS 5672, Ecole Normale Supérieure de Lyon, 46 allée d'Italie, Lyon, France.
authors.forename: Sébastien
authors.initials: S
authors.lastname: Aumaître
authors.affiliation: Univ Paris Diderot, Sorbonne Paris Cité, MSC, UMR 7057 CNRS, F-75 013 Paris, France.
authors.forename: Eric
authors.initials: E
authors.lastname: Falcon