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Intrinsic stochasticity with many degrees of freedom |
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| Authors: | Y. Pomeau A. Pumir P. Pelce |
| Affiliation: | (1) Département de Physique Théorique/Service de Physique Théorique, C.E.N. Saclay-Orme des Merisiers, Gif sur Yvette, 91191 Cedex, France;(2) Laboratoire de Dynamique et de Thermophysique des Fluides, Université de Provence-Centre de Saint Jerome, Marseille, 13397 Cedex 4, France |
| 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. |
| Keywords: | Intrinsic Stochasticity turbulent fluctuations energy transfer Lyapunov exponents |
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