A statistical physics viewpoint on the dynamics of the bouncing ball. (10th June 2016)

• Record Type: Journal Article
• Authors: Chastaing, Jean-Yonnel; Géminard, Jean-Christophe; Bertin, Eric
• Is Part Of: Journal of statistical mechanics. (2016:Jun.)
• Publication Date: 2016-06-10
• Subjects: Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/2016/06/063202
• Languages: English
• ISSNs: 1742-5468

Abstract

Abstract: We compute, in a statistical physics perspective, the dynamics of a bouncing ball maintained in a chaotic regime thanks to collisions with a plate experiencing an aperiodic vibration. We analyze in details the energy exchanges between the bead and the vibrating plate, and show that the coupling between the bead and the plate can be modeled in terms of both a dissipative process and an injection mechanism by an energy reservoir. An analysis of the injection statistics in terms of fluctuation relation is also provided.