Ml. Kurnaz et Jv. Maher, SEDIMENTATION TO FORM ROUGH, QUASI-ONE-DIMENSIONAL INTERFACES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(1), 1996, pp. 978-985
The quasi-two-dimensional sedimentation of silica particles in viscous
fluids results in quasi-one-dimensional rough surfaces. These surface
s are rough on all length scales between the particle size and the cel
l size, but different roughness exponents are observed in two well def
ined length-scale regimes. The range of hydrodynamic forces should pla
y an important role in determining which, if either, length-scale regi
me shows universal properties. The strong similarity between the heigh
t-height correlations of the surface and the density-density correlati
ons inside the flow at longer length scales suggests that the roughnes
s at longer length scales is very closely tied to the hydrodynamic int
eractions in the fluid. Measurements have been performed at three diff
erent cell aspect ratios and at three different fluid viscosities and
in no case is there an observable change in the crossover length scale
of the system.