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We present a Langevin approach to describe the steady-state dynamics ofone-dimensional granular media fluidized by a vibrating bottom plate. We adopta linear Langevin equation to describe the motion of the center of mass. Withinthis framework, we derive analytical expressions for several macroscopicquantities. We also predict the power spectrum for the height of the center ofmass. We find good agreement between our theoretical predictions and extensiveevent-driven molecular dynamics simulations.

A Langevin Approach to One-Dimensional Granular Media Fluidized by Vibrations