Journal of Statistical Physics

, Volume 37, Issue 1–2, pp 39–49 | Cite as

Intrinsic stochasticity with many degrees of freedom

  • Y. Pomeau
  • A. Pumir
  • P. Pelce


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.

Key words

Intrinsic Stochasticity turbulent fluctuations energy transfer Lyapunov exponents 


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Copyright information

© Plenum Publishing Corporation 1984

Authors and Affiliations

  • Y. Pomeau
    • 1
  • A. Pumir
    • 1
  • P. Pelce
    • 2
  1. 1.Département de Physique Théorique/Service de Physique ThéoriqueC.E.N. Saclay-Orme des MerisiersCedexFrance
  2. 2.Laboratoire de Dynamique et de Thermophysique des FluidesUniversité de Provence-Centre de Saint JeromeCedex 4France

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