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Related Experiment Videos

Why is random close packing reproducible?

Randall D Kamien1, Andrea J Liu

  • 1Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA.

Physical Review Letters
|November 13, 2007
PubMed
Summary
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We link colloidal suspension thermodynamics to random packing statistics. A key finding suggests the random close packing volume fraction arises from disappearing accessible states.

Area of Science:

  • Thermodynamics
  • Statistical Mechanics
  • Materials Science

Background:

  • The precise definition of random close packing (RCP) remains elusive.
  • Despite definitional challenges, a consistent volume fraction for RCP is observed in three dimensions.
  • Understanding RCP is crucial for characterizing disordered materials.

Purpose of the Study:

  • To establish a thermodynamic basis for the observed volume fraction of random close packing.
  • To connect the statistical properties of packings to the behavior of colloidal suspensions.
  • To explore the relationship between accessible states and the equation of state for hard-sphere fluids.

Main Methods:

  • Linking thermodynamic principles to the statistical analysis of regular and random packing configurations.

Related Experiment Videos

  • Investigating the concept of accessible states and their rate of disappearance.
  • Analyzing the equation of state for a hard-sphere fluid, particularly on its metastable, noncrystalline branch.

    • Main Results:

    • A conjecture is proposed that the universal volume fraction of random close packing (approximately 0.64) is linked to a divergence in the rate of accessible state loss.
    • The study relates this rate to the equation of state of a hard-sphere fluid.
    • The findings provide a thermodynamic perspective on the statistical mechanics of disordered packing.

    Conclusions:

    • The observed volume fraction of random close packing can be explained through thermodynamic principles.
    • The rate of accessible state disappearance is a critical factor in defining the limits of random packing.
    • This work offers a new framework for understanding the behavior of colloidal suspensions and disordered materials.