Variational Approach to Hard Sphere Segregation Under Gravity

Details Variational Approach to Hard Sphere Segregation Under Gravity Variational Approach to Hard Sphere Segregation Under Gravity

2001-11-19

arxiv.org/abs/cond-mat/0111347v1

Physics

Condensed Matter

Statistical Mechanics

10 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.88.124301

It is demonstrated that the minimization of the free energy functional for hard spheres and hard disks yields the result that excited granular materials under gravity segregate not only in the widely known "Brazil nut" fashion, i.e. with the larger particles rising to the top, but also in reverse "Brazil nut" fashion. Specifically, the local density approximation is used to investigate the crossover between the two types of segregation occurring in the liquid state, and the results are found to agree qualitatively with previously published results of simulation and of a simple model based on condensation.

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