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The effect of external noise in the Lorenz model of the Bénard problem

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Abstract

The effect of external random forces on the static and dynamic behavior of the Lorenz model is investigated. Results of a numerical calculation in the conductive, convective, and turbulent regimes are reported. The properties of static and time-dependent correlation functions of the three degrees of freedom of the model are analyzed for varying strength of the external noise level and compared with the behavior of the unforced system.

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Author notes

  1. Manfred Lücke

    Present address: Institut für Festkörperforschung der Kernforschungsanlage Jülich, Jülich, West Germany

Authors and Affiliations

  1. Lyman Laboratory, Harvard University, Cambridge, Massachusetts

    Annette Zippelius

  2. Physik-Department der Technischen Universität München, Garching, West Germany

    Manfred Lücke

Authors
  1. Annette Zippelius
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  2. Manfred Lücke
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Zippelius, A., Lücke, M. The effect of external noise in the Lorenz model of the Bénard problem. J Stat Phys 24, 345–358 (1981). https://doi.org/10.1007/BF01013305

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  • DOI: https://doi.org/10.1007/BF01013305

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