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Related Experiment Videos

Variational approach to hard sphere segregation under gravity.

Joseph A Both1, Daniel C Hong

  • 1Physics, Lewis Laboratory, Lehigh University, Bethlehem, Pennsylvania 18015, USA.

Physical Review Letters
|March 23, 2002
PubMed
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Granular materials under gravity segregate in the "Brazil nut" fashion and reverse "Brazil nut" fashion. The study investigates the crossover between these segregation types in the liquid state.

Area of Science:

  • Physics
  • Materials Science
  • Statistical Mechanics

Background:

  • Granular materials exhibit complex behaviors under external forces.
  • The "Brazil nut" effect, where larger particles rise, is a well-known phenomenon.
  • Understanding segregation mechanisms is crucial for various industrial applications.

Purpose of the Study:

  • To investigate the segregation of granular materials under gravity.
  • To explore both the standard "Brazil nut" and the reverse "Brazil nut" segregation.
  • To analyze the transition between these segregation behaviors in the liquid state.

Main Methods:

  • Minimization of the free energy functional for hard spheres and hard disks.
  • Application of the local density approximation.

Related Experiment Videos

  • Qualitative comparison with existing simulation and condensation models.

    • Main Results:

    • Demonstration of both "Brazil nut" and reverse "Brazil nut" segregation.
    • Investigation of the crossover between segregation types in the liquid state.
    • Qualitative agreement with prior simulation and condensation model results.

    Conclusions:

    • Granular materials exhibit dual segregation behaviors under gravity.
    • The local density approximation provides insights into segregation crossovers.
    • The findings align with established models, validating the theoretical approach.