I'm gonna argue Archimede's principle.
I'll assume both large and small particles are made of the same material and are roughly spherical (read: not all perfect interlocking cubes). I'll also assume for this argument that there are only two sizes, large and small.
Relative to the jar, the large particles have greater empty space between them than the small particles. (This can be shown geometrically, draw 1 circle within a square, then draw an increasing amount of circles within the square. As the # of circles approaches infinity, the total area within all circles approaches that of the square and the space between the circles approaches zero.) The same idea can be applied to spheres within a cube. Therefore, as a system
of very many particles (THIS IS IMPORTANT)[/b], the large particles are less dense than the small particles.
I claim that a
high number[/b] of these particles (large or small) falls under this definition of a fluid:
and therefore obeys Archimede's principle:
which essentially says that when fluids of differing densities are mixed, the lower density fluid floats on the higher density fluid.