Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2003-06-23
Physics
Condensed Matter
Soft Condensed Matter
5 pages, 2 figures
Scientific paper
10.1209/epl/i2003-00287-1
Starting from the hydrodynamic equations of binary granular mixtures, we derive an evolution equation for the relative velocity of the intruders, which is shown to be coupled to the inertia of the smaller particles. The onset of Brazil-nut segregation is explained as a competition between the buoyancy and geometric forces: the Archimedean buoyancy force, a buoyancy force due to the difference between the energies of two granular species, and two geometric forces, one compressive and the other-one tensile in nature, due to the size-difference. We show that inelastic dissipation strongly affects the phase diagram of the Brazil nut phenomenon and our model is able to explain the experimental results of Breu et al. (PRL, 2003, vol. 90, p. 01402).
Alam Meheboob
Herrmann Hans Jürgen
Trujillo Leonardo
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