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The turbulent dynamo as an instability in a noisy medium


  • N. Leprovost


  • B. Dubrulle


We study an example of instability in presence of a multiplicative noise, namely the spontaneous generation of a magnetic field in a turbulent medium. This so-called turbulent dynamo problem remains challenging, experimentally and theoretically. In this field, the prevailing theory is the Mean-Field Dynamo [1] where the dynamo effect is monitored by the mean magnetic field. In recent years, it has been shown on stochastic oscillators that this type of approach could be misleading. In this paper, we develop a stochastic description of the turbulent dynamo effect which enables us to define unambiguously a threshold for the dynamo effect, namely by globally analyzing the probability density function of the magnetic field instead of a given moment. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2005

Suggested Citation

  • N. Leprovost & B. Dubrulle, 2005. "The turbulent dynamo as an instability in a noisy medium," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 44(3), pages 395-400, April.
  • Handle: RePEc:spr:eurphb:v:44:y:2005:i:3:p:395-400
    DOI: 10.1140/epjb/e2005-00138-y

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    References listed on IDEAS

    1. D. Vestin & Hordahl & P., 2004. "Monetary policy and the expectations hypothesis," Computing in Economics and Finance 2004 70, Society for Computational Economics.
    2. Susan Olivia & John Gibson & Trinh Le, 2004. "Private Transfers and the Crowding Out Hypothesis: Semiparametric and Threshold Regression Evidence from Four Developing Countries," Econometric Society 2004 Australasian Meetings 112, Econometric Society.
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