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One-dimensional percolation models of transient phenomena

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  • Macpherson, K.P.
  • MacKinnon, A.L.

Abstract

We recall a cellular automaton model first developed for studying solar flare occurrence and investigate its parallels with percolation theory. We further develop the model by relaxing the assumptions of the original model concerning timescales of re-growth to allow investigation of percolation models with ‘re-ignition’.

Suggested Citation

  • Macpherson, K.P. & MacKinnon, A.L., 1997. "One-dimensional percolation models of transient phenomena," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 243(1), pages 1-13.
    • Handle: RePEc:eee:phsmap:v:243:y:1997:i:1:p:1-13
    DOI: 10.1016/S0378-4371(97)00189-1
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    References listed on IDEAS

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    1. 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.
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