Large grains are well known to rise to the top of granular beds. In th
is Letter, we report to the contrary on a shaking regime in which larg
e, heavy grains rise, but equally large, light grains sink in a granul
ar bed. This behavior occurs in deep beds with high amplitude vibratio
ns - precisely the regime encountered during transportation of industr
ial solids mixtures. We examine a simple one-dimensional model that ca
ptures some aspects of this effect. The central observation underlying
this model is that inertia causes heavy objects to lift off the bed,
permitting smaller particles to infiltrate beneath; the motion of ligh
t objects, by contrast, can fluctuate wildly, preventing this infiltra
tion. [S0031-9007(98)07684-4].