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Intrinsic stochasticity with many degrees of freedom

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Abstract

We study a simple model equation describing a system with an infinity of degrees of freedom which displays an intrinsically chaotic behavior. Some concepts of fully developed turbulence are discussed in relation to this model. We also develop an approach based on Lyapunov exponent measurements. Numerical results on the distribution of Lyapunov numbers and the power spectrum of the associated Lyapunov vectors are presented and briefly discussed.

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Authors and Affiliations

  1. Département de Physique Théorique/Service de Physique Théorique, C.E.N. Saclay-Orme des Merisiers, Gif sur Yvette, 91191, Cedex, France

    Y. Pomeau & A. Pumir

  2. Laboratoire de Dynamique et de Thermophysique des Fluides, Université de Provence-Centre de Saint Jerome, Marseille, 13397, Cedex 4, France

    P. Pelce

Authors
  1. Y. Pomeau
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  2. A. Pumir
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  3. P. Pelce
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Pomeau, Y., Pumir, A. & Pelce, P. Intrinsic stochasticity with many degrees of freedom. J Stat Phys 37, 39–49 (1984). https://doi.org/10.1007/BF01012904

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  • DOI: https://doi.org/10.1007/BF01012904

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