What is the law behind objects separating by size when shaken?

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The discussion centers on the phenomenon where larger objects rise to the surface when a mixture is shaken, known as the "Brazil Nut Effect." This effect occurs due to percolation, where smaller particles fall through the gaps created by larger ones during shaking. The larger objects create larger gaps between themselves, allowing smaller particles to move downward. Gravity plays a crucial role, as smaller objects cannot navigate the tighter spaces between similarly sized particles. Understanding this effect can enhance knowledge of particle dynamics in various contexts.
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hey,

I saw a question on "Who Wants to Be a Millionaire" about a physics law where for example shaking a jar containing a big number of objects (like rocks, or chestnuts) will result in the bigger ones rising to the surface. I never got the chance to find the answer but does anyone know the name of this law so I can google it? or does anyone know how this works?
 
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It's not a "law"; it's an effect: the "Brazil Nut Effect".
 
Percolation, surely?

It's essentially the effect of small particles falling through the gaps between large particles.
 
The gaps are created by the larger material interfacing and colliding with other larger material. Why does the smaller material fall through the gaps?
 
"Why does the smaller material fall through the gaps?"
Gravity
 
Unless the objects are very regular in shape, the large objects have larger gaps between them than the small objects, on average. The small objects can't make it between the gaps between small objects, but can make it between the gaps between large objects.
 
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