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

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

2008-01-29

arxiv.org/abs/0801.4428v1

J. Phys. Soc. Jpn. 77, 034402 (2008)

Physics

Condensed Matter

Soft Condensed Matter

11 pages, 3 figures, to be published in J. Phys. Soc. Jpn

Scientific paper

10.1143/JPSJ.77.034402

We present a Langevin approach to describe the steady-state dynamics of one-dimensional granular media fluidized by a vibrating bottom plate. We adopt a linear Langevin equation to describe the motion of the center of mass. Within this framework, we derive analytical expressions for several macroscopic quantities. We also predict the power spectrum for the height of the center of mass. We find good agreement between our theoretical predictions and extensive event-driven molecular dynamics simulations.

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