InterJournal Complex Systems, 1010
Status: Accepted
Manuscript Number: [1010]
Submission Date: 2004
Efficient reduction of complexity and non ergodicity due to dissipation: the case of a single ball in a vibrating box
Author(s): Pierre Evesque ,Garrabos Yves ,D. Beysens ,F. Palencia

Subject(s): CX.1

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Abstract:

We report observations on balls, vibrated in a box, showing a coherent behavior along a direction parallel to the vibration. This behavior causes a significant reduction of the phase space dimension from 11-d to 2d of this billiard-like system. We believe this is because the lowest dissipation process along a non ergodic orbit that eliminates ball rotation and freezes transverse velocity fluctuations. From a two-ball experiment performed under zero-g conditions, we introduce a ball system moving coherently as a prototype of a new dynamical model for a non-interacting dilute granular gas. This behaviour is completely different from the one without dissipation, that is named Fermi case.

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