A "Tetris-Like" Model for the Compaction of Dry Granular Media

@article{Caglioti1997AM,
  title={A "Tetris-Like" Model for the Compaction of Dry Granular Media},
  author={Emanuele Caglioti and Vittorio Loreto and Hans J. Herrmann and Mario Nicodemi},
  journal={Physical Review Letters},
  year={1997},
  volume={79},
  pages={1575-1578}
}
We propose a two-dimensional geometrical model, based on the concept of geometrical frustration, conceived for the study of compaction in granular media. The dynamics exhibits an interesting inverse logarithmic law that is well known from real experiments. Moreover, we present a simple dynamical model of $N$ planes exchanging particles with excluded volume problems, which allows us to clarify the origin of the logarithmic relaxations and the stationary density distribution. A simple mapping… 

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References

SHOWING 1-10 OF 36 REFERENCES

THE VIBRATORY PACKING OF POWDERS

The objective, in packing particles by vibration, is to increase the density of packing. The main factors affecting the packing of particles in this way are the characteristics of the powder (size

Europhysics Letters

to discriminate against rotations origina­ ting in other ways. There are detailed variations in the ex­ perimental methods adopted, but the principle is always the same ; the atomic vapour is

Phys

  • Rev. E 51, 3957
  • 1995

Repo No

  • cond-mat/9603150; J. Chem. Phys. 100, 6778
  • 1994

preprint in cond-mat/9603150

  • and P.L. Krapivsky and E. Ben- Naim, J. of Chem. Phys. 100, 6778
  • 1994

Powder Technology Phys. Rev. Lett

  • Powder Technology Phys. Rev. Lett
  • 1986

The vibratory packing of powders ” , and

  • 1993

Phys. Today

  • Phys. Today
  • 1996

Science 255

  • 1523
  • 1992

Compaction of Grains : A Free Volum Model ” ( to be published ) . [ 12 ] For an extensive review

  • 1997