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Self-organised criticality in some dissipative sandpile models

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  • Ruskin, H.J.
  • Feng, Y.

Abstract

We investigate here self-organised criticality (SOC) in two-dimensional dissipative sandpile models without the local conservation law. Both dissipative cellular automata and dissipative coupled map lattice models with open boundary conditions are considered. There appears to be no evidence for the existence of SOC in the former models. In 2he CML models, scale-invariant avalanches are observed to occur for some specific local dynamical rules. This suggests that the occurrence of SOC depends, at least in part, on the nature of the dissipative dynamics.

Suggested Citation

  • Ruskin, H.J. & Feng, Y., 1997. "Self-organised criticality in some dissipative sandpile models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 245(3), pages 453-460.
    • Handle: RePEc:eee:phsmap:v:245:y:1997:i:3:p:453-460
    DOI: 10.1016/S0378-4371(97)00317-8
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    References listed on IDEAS

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    1. Stauffer, D. & Kertész, J., 1990. "On the Alexandrowicz relation between static and dynamic Ising exponents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 167(2), pages 333-337.
    2. Drossel, B. & Schwabl, F., 1992. "Self-organized criticality in a forest-fire model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 191(1), pages 47-50.
    3. Bak, Per & Flyvbjerg, Henrik, 1992. "Self-organization of magnetic domain patterns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 185(1), pages 3-10.
    4. Sachdev, Perminder S., 1990. "Behavioural factors affecting physical health of the New Zealand Maori," Social Science & Medicine, Elsevier, vol. 30(4), pages 431-440, January.
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