Structure factors in granular experiments with homogeneous fluidization

Details Structure factors in granular experiments with homogeneous fluidization Structure factors in granular experiments with homogeneous fluidization

2011-12-13

arxiv.org/abs/1112.2753v1

J. Chem. Phys. 136, 014704 (2012)

Physics

Condensed Matter

Soft Condensed Matter

32 pages, 16 figures, to be published on J. Chem. Phys

Scientific paper

Velocity and density structure factors are measured over a hydrodynamic range of scales in a horizontal quasi-2d fluidized granular experiment, with packing fractions $\phi\in[10%,40%]$. The fluidization is realized by vertically vibrating a rough plate, on top of which particles perform a Brownian-like horizontal motion in addition to inelastic collisions. On one hand, the density structure factor is equal to that of elastic hard spheres, except in the limit of large length-scales, as it occurs in the presence of an effective interaction. On the other hand, the velocity field shows a more complex structure which is a genuine expression of a non-equilibrium steady state and which can be compared to a recent fluctuating hydrodynamic theory with non-equilibrium noise. The temporal decay of velocity modes autocorrelations is compatible with linear hydrodynamic equations with rates dictated by viscous momentum diffusion, corrected by a typical interaction time with the thermostat. Equal-time velocity structure factors display a peculiar shape with a plateau at large length-scales and another one at small scales, marking two different temperatures: the "bath" temperature $T_b$, depending on shaking parameters, and the "granular" temperature $T_g

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