Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-09-22
Phys. Rev. Lett. 93, 198002 (2004)
Physics
Condensed Matter
Statistical Mechanics
to appear on Physical Review Letters
Scientific paper
10.1103/PhysRevLett.93.198002
We compare the predictions of two different statistical mechanics approaches, corresponding to different physical measurements, proposed to describe binary granular mixtures subjected to some external driving (continuous shaking or tap dynamics). In particular we analytically solve at a mean field level the partition function of a simple hard sphere lattice model under gravity and we focus on the phenomenon of size segregation. We find that the two approaches lead to similar results and seem to coincide in the limit of very low shaking amplitude. However they give different predictions of the crossovers from Brazil nut effect to reverse Brazil nut effect with respect to the shaking amplitude, which could be detected experimentally.
Coniglio Antonio
Fierro Annalisa
Nicodemi Mario
Tarzia Marco
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