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Avalanche dynamics in a pile of rice

Abstract

THE idea of self-organized criticality1(SOC) is commonly illustrated conceptually with avalanches in a pile of sand grains. The grains are dropped onto a pile one by one, and the pile ultimately reaches a stationary 'critical' state in which its slope fluctuates about a constant angle of repose, with each new grain being capable of inducing an avalanche on any of the relevant size scales. Some numerical models of sand-pile dynamics do show SOC1–8, hut the behaviour of real sand piles remains ambiguous9–18. Here we describe experiments on a granular system—a pile of rice—in which the dynamics exhibit self-organized critical behaviour in one case (for grains with a large aspect ratio) but not in another (for less elongated grains). These results show that SOC is not as 'universal' and insensitive to the details of a system as was initially supposed1, but that instead its occurrence depends on the detailed mechanism of energy dissipation.

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References

  1. 1

    Bak, P., Tang, C. & Wiesenfeld, K. Phys. Rev. Lett. 59, 381–384 (1987); Phys. Rev. A38, 364–374 (1988).

    ADS  CAS  Article  Google Scholar 

  2. 2

    Kadanoff, L. P., Nagel, S. R., Wu, L. & Zhou, S.-m. Phys. Rev. A39, 6524–6537 (1989).

    ADS  CAS  Article  Google Scholar 

  3. 3

    Carlson, J. M. & Langer, J. S. Phys. Rev. Lett. 62, 2632–2635 (1989).

    ADS  CAS  Article  Google Scholar 

  4. 4

    Feder, H. J. S. & Feder, J. Phys. Rev. Lett. 66, 2669–2672 (1991); Phys. Rev. Lett. 67, 283(E) (1991).

    ADS  CAS  Article  Google Scholar 

  5. 5

    Olami, Z., Feder, H. J. S. & Christensen, K. Phys. Rev. Lett. 68, 1244–1247 (1992).

  6. 6

    Drossel, B. & Schwabl, F. Phys. Rev. Lett. 69, 1629–1632 (1992).

    ADS  CAS  Article  Google Scholar 

  7. 7

    Frette, V. Phys.Rev. Lett. 70, 2762–2765 (1993).

    ADS  CAS  Article  Google Scholar 

  8. 8

    Bak, P. & Sneppen, K. Phys. Rev. Lett. 71, 4083–4086 (1993).

    ADS  CAS  Article  Google Scholar 

  9. 9

    Jaeger, H. M., Liu, C.-h. & Nagel, S. R. Phys. Rev. Lett. 62, 40–43 (1989).

    ADS  CAS  Article  Google Scholar 

  10. 10

    Held, G. A. et al. Phys. Rev. Lett. 65, 1120–1123 (1990).

    ADS  CAS  Article  Google Scholar 

  11. 11

    Evesque, P. Phys. Rev. A43, 2720–2740 (1991).

    ADS  CAS  Article  Google Scholar 

  12. 12

    Evesque, P., Fargeix, D., Habib, P., Luong, M. P. & Porion, P. Phys. Rev. E47, 2326–2332 (1993).

    ADS  CAS  Google Scholar 

  13. 13

    Bretz, M., Cunningham, J. B., Kurczynski, P. L. & Nori, F. Phys. Rev. Lett. 69, 2431–2434 (1992).

    ADS  CAS  Article  Google Scholar 

  14. 14

    Morales-Gamboa, E., Lomnitz-Adler, J., Romero-Rochín, V., Chicharro-Serra, R. & Peralta-Fabi, R. Phys. Rev. E47, R2229–R2232 (1993).

    ADS  CAS  Google Scholar 

  15. 15

    Grumbacher, S. K., McEwen, K. M., Halverson, D. A., Jacobs, D. T. & Lindner, J. Am. J. Phys. 61, 329–335 (1993).

    ADS  Article  Google Scholar 

  16. 16

    Rosendahl, J., Vekić, M. & Kelley, J. Phys. Rev. E47, 1401–1404 (1993).

    ADS  CAS  Article  Google Scholar 

  17. 17

    Rosendahl, J., Vekić, M. & Rutledge, J. E. Phys. Rev. Lett. 73, 537–540 (1994).

    ADS  CAS  Article  Google Scholar 

  18. 18

    Feder, J. Fractals 3 431–433 (1995).

    Article  Google Scholar 

Download references

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Frette, V., Christensen, K., Malthe-Sørenssen, A. et al. Avalanche dynamics in a pile of rice. Nature 379, 49–52 (1996). https://doi.org/10.1038/379049a0

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