PMID: 11909464Mar 23, 2002Paper

Variational approach to hard sphere segregation under gravity

Physical Review Letters
Joseph A Both, Daniel C Hong

Abstract

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.

References

Mar 9, 1987·Physical Review Letters·A RosatoR H Swendsen
Jun 14, 1993·Physical Review Letters·J B KnightS R Nagel
Jan 4, 2001·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·P V Quinn, D C Hong
May 1, 2001·Physical Review Letters·D C HongS Luding
Dec 12, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J A Both, D C Hong
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·M DijkstraR Evans

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Citations

Jul 23, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Fei Fang ChungSy-Sang Liaw
May 7, 2014·Soft Matter·Matthias Kohl, Michael Schmiedeberg
Dec 17, 2004·Physical Review Letters·Marco TarziaAntonio Coniglio
Dec 17, 2004·Physical Review Letters·Duncan A SandersP J King
Mar 24, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A T CatherallP J King
Aug 26, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M A NaylorP J King
Feb 21, 2006·Physical Review Letters·Massimo Pica CiamarraMario Nicodemi
Aug 11, 2005·Physical Review Letters·T SchnautzI Rehberg
Oct 4, 2005·Physical Review Letters·M TarziaA Coniglio
Feb 7, 2003·Physical Review Letters·A P J BreuI Rehberg
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Matthias SchröterHarry L Swinney
Aug 7, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Q ShiK Lu

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