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Self-organized criticality with and without conservation

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  • Jánosi, I.M.
  • Kertész, J.

Abstract

The self-organized sandpile models lose criticality if dissipation is introduced. Recently Christensen et al. have shown that dissipative automata based on the Burridge-Knopoff earthquake model exhibit critical behavior. Criticality is qualitatively different for the cases with and without conservation: A new characteristic length appears for the dissipative case which diverges slower than the system size. For all dissipative models we have found a characteristic frequency in the power spectrum of the released energy, which is absent for the conservative case. The exponents describing criticality change continuously as a function of the strength of dissipation and crossover phenomena occur in the vicinity of conservation. Disorder is irrelevant if conservation is present while it destroys criticality in the dissipative case.

Suggested Citation

  • Jánosi, I.M. & Kertész, J., 1993. "Self-organized criticality with and without conservation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 200(1), pages 179-188.
  • Handle: RePEc:eee:phsmap:v:200:y:1993:i:1:p:179-188
    DOI: 10.1016/0378-4371(93)90516-7
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    1. 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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    Cited by:

    1. Járai-Szabó, Ferenc & Néda, Zoltán, 2012. "Earthquake model describes traffic jams caused by imperfect driving styles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(22), pages 5727-5738.

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