Variational Approach to Hard Sphere Segregation under Gravity

Joseph Both, Daniel C. Hong

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Number of pages1
JournalPhysical Review Letters
Volume88
Issue number12
DOIs
StatePublished - Jan 1 2002
Externally publishedYes

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Brazil
gravitation
granular materials
crossovers
condensation
free energy
optimization
liquids
approximation
simulation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Variational Approach to Hard Sphere Segregation under Gravity. / Both, Joseph; Hong, Daniel C.

In: Physical Review Letters, Vol. 88, No. 12, 01.01.2002.

Research output: Contribution to journalArticle

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