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Theory of powders

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  • Edwards, S.F.
  • Oakeshott, R.B.S.

Abstract

Starting from the observations that powders have a large number of particles, and reproducible properties, we show how statistical mechanics applies to powders. The volume of the powder plays the role of the energy in conventional statistical mechanics with the hypothesis that all states of a specified volume are equally probable. We introduce a variable X - the compactivity - which is analogous to the temperature in thermodynamics. Some simple models are considered which demonstrate how the problems involved can be tackled using the concept of compactivity.

Suggested Citation

  • Edwards, S.F. & Oakeshott, R.B.S., 1989. "Theory of powders," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 157(3), pages 1080-1090.
    • Handle: RePEc:eee:phsmap:v:157:y:1989:i:3:p:1080-1090
    DOI: 10.1016/0378-4371(89)90034-4
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    Cited by:

    1. Edwards, S.F. & Mounfield, C.C., 1996. "A theoretical model for the stress distribution in granular matter. III. Forces in sandpiles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 226(1), pages 25-33.
    2. Lhuillier, Daniel, 2007. "Constitutive relations for steady flows of dense granular liquids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(2), pages 267-275.
    3. Mounfield, C.C. & Edwards, S.F., 1994. "The statistical mechanics of granular systems composed of elongated grains," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 210(3), pages 279-289.
    4. Mounfield, C.C. & Edwards, S.F., 1994. "A model for the packing of irregularly shaped grains," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 210(3), pages 301-316.
    5. Tejada, Ignacio G., 2011. "A new statistical mechanics approach to dense granular media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(14), pages 2664-2677.
    6. Edwards, S.F. & Mounfield, C.C., 1994. "The statistical mechanics of granular systems composed of spheres and elongated grains," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 210(3), pages 290-300.
    7. Oakeshott, R.B.S. & Edwards, S.F., 1994. "Perturbative theory of the packing of mixtures and of non-spherical particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 202(3), pages 482-498.

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