S. Luding et al., STUDIES OF COLUMNS OF BEADS UNDER EXTERNAL VIBRATIONS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(2), 1994, pp. 1634-1646
As a toy model for dissipative granular materials, we investigate a on
e-dimensional column of beads undergoing external vibrations. The anal
ysis is both experimental and numerical. We display the cross-over fro
m a condensed to a fluidized state of the column; the parameters are t
he agitation, the number of beads, and the momentum restitution coeffi
cient. We find clustered states for high dissipation and/or a large nu
mber of beads. Our experimental findings support the appearance of a f
luidized regime at low dissipation and of a Feigenbaum-type bifurcatio
n scenario at high dissipation.